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190359072 = 25342712
BaseRepresentation
bin10110101100010…
…10011000100000
3111021012020120000
423112022120200
5342212442242
630520020000
74501011501
oct1326123040
9437166500
10190359072
11984a8652
1253901600
1330590007
141b3d2ba8
1511aa2a4c
hexb58a620

190359072 has 90 divisors (see below), whose sum is σ = 561914199. Its totient is φ = 63218880.

The previous prime is 190359067. The next prime is 190359073. The reversal of 190359072 is 270953091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 95179536 + 95179536 = 9756^2 + 9756^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9756.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (190359073) 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 14 ways as a sum of consecutive naturals, for example, 702297 + ... + 702567.

Almost surely, 2190359072 is an apocalyptic number.

190359072 is a gapful number since it is divisible by the number (12) 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 190359072

190359072 is an abundant number, since it is smaller than the sum of its proper divisors (371555127).

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

190359072 is an frugal number, since it uses more digits than its factorization.

190359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 190359072 is about 13797.0675145119. The cubic root of 190359072 is about 575.2516322713.

The spelling of 190359072 in words is "one hundred ninety million, three hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 271 288 324 432 542 648 813 864 1084 1296 1626 2168 2439 2592 3252 4336 4878 6504 7317 8672 9756 13008 14634 19512 21951 26016 29268 39024 43902 58536 73441 78048 87804 117072 146882 175608 220323 234144 293764 351216 440646 587528 660969 702432 881292 1175056 1321938 1762584 1982907 2350112 2643876 3525168 3965814 5287752 5948721 7050336 7931628 10575504 11897442 15863256 21151008 23794884 31726512 47589768 63453024 95179536 190359072