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137410596 = 223219319777
BaseRepresentation
bin10000011000010…
…11100000100100
3100120120011220100
420030023200210
5240134114341
621345104100
73255653661
oct1014134044
9316504810
10137410596
1170623684
123a028030
132261185b
141436ca68
15c0e43b6
hex830b824

137410596 has 36 divisors (see below), whose sum is σ = 349160812. Its totient is φ = 45563904.

The previous prime is 137410573. The next prime is 137410597. The reversal of 137410596 is 695014731.

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 89302500 = 6936^2 + 9450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×1374105964 (a number of 34 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137410596.

It is not an unprimeable number, because it can be changed into a prime (137410597) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2941 + ... + 16836.

Almost surely, 2137410596 is an apocalyptic number.

It is an amenable number.

137410596 is an abundant number, since it is smaller than the sum of its proper divisors (211750216).

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

137410596 is a wasteful number, since it uses less digits than its factorization.

137410596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19980 (or 19975 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 137410596 is about 11722.2265803046. The cubic root of 137410596 is about 516.0281668417.

The spelling of 137410596 in words is "one hundred thirty-seven million, four hundred ten thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 6948 19777 39554 59331 79108 118662 177993 237324 355986 711972 3816961 7633922 11450883 15267844 22901766 34352649 45803532 68705298 137410596