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190807240 = 235132912653
BaseRepresentation
bin10110101111101…
…11110011001000
3111022001000022211
423113313303020
5342321312430
630533354504
74504556221
oct1327676310
9438030284
10190807240
1198784338
1253a98a34
13306b8cc0
141b4ac248
1511b4072a
hexb5f7cc8

190807240 has 64 divisors (see below), whose sum is σ = 478321200. Its totient is φ = 68017152.

The previous prime is 190807231. The next prime is 190807249. The reversal of 190807240 is 42708091.

It is an interprime number because it is at equal distance from previous prime (190807231) and next prime (190807249).

It can be written as a sum of positive squares in 8 ways, for example, as 5466244 + 185340996 = 2338^2 + 13614^2 .

It is not an unprimeable number, because it can be changed into a prime (190807249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8754 + ... + 21406.

Almost surely, 2190807240 is an apocalyptic number.

190807240 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 190807240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239160600).

190807240 is an abundant number, since it is smaller than the sum of its proper divisors (287513960).

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

190807240 is a wasteful number, since it uses less digits than its factorization.

190807240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 190807240 is about 13813.2993886327. The cubic root of 190807240 is about 575.7027224353.

The spelling of 190807240 in words is "one hundred ninety million, eight hundred seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 12653 15080 25306 50612 63265 101224 126530 164489 253060 328978 366937 506120 657956 733874 822445 1315912 1467748 1644890 1834685 2935496 3289780 3669370 4770181 6579560 7338740 9540362 14677480 19080724 23850905 38161448 47701810 95403620 190807240