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190487040 = 2935171459
BaseRepresentation
bin10110101101010…
…01101000000000
3111021102202002120
423112221220000
5342231041130
630522444240
74502053542
oct1326515000
9437382076
10190487040
1198585807
1253963680
1330606333
141b427692
1511aca910
hexb5a9a00

190487040 has 160 divisors (see below), whose sum is σ = 645226560. Its totient is φ = 47775744.

The previous prime is 190487039. The next prime is 190487041. The reversal of 190487040 is 40784091.

190487040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190487039) and next prime (190487041).

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 190486992 and 190487010.

It is not an unprimeable number, because it can be changed into a prime (190487041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129831 + ... + 131289.

It is an arithmetic number, because the mean of its divisors is an integer number (4032666).

Almost surely, 2190487040 is an apocalyptic number.

190487040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322613280).

190487040 is an abundant number, since it is smaller than the sum of its proper divisors (454739520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190487040 is a wasteful number, since it uses less digits than its factorization.

190487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 190487040 is about 13801.7042425927. The cubic root of 190487040 is about 575.3805068079.

The spelling of 190487040 in words is "one hundred ninety million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1459 1536 1632 1920 2040 2176 2560 2720 2918 3264 3840 4080 4352 4377 5440 5836 6528 7295 7680 8160 8704 8754 10880 11672 13056 14590 16320 17508 21760 21885 23344 24803 26112 29180 32640 35016 43520 43770 46688 49606 58360 65280 70032 74409 87540 93376 99212 116720 124015 130560 140064 148818 175080 186752 198424 233440 248030 280128 297636 350160 372045 373504 396848 466880 496060 560256 595272 700320 744090 747008 793696 933760 992120 1120512 1190544 1400640 1488180 1587392 1867520 1984240 2241024 2381088 2801280 2976360 3174784 3735040 3968480 4762176 5602560 5952720 6349568 7936960 9524352 11205120 11905440 12699136 15873920 19048704 23810880 31747840 38097408 47621760 63495680 95243520 190487040