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137946096 = 2432957959
BaseRepresentation
bin10000011100011…
…10001111110000
3100121120101110200
420032032033300
5240303233341
621404355200
73263344131
oct1016161760
9317511420
10137946096
1170959a42
123a245b00
132276b512
141446bc88
15c19cdb6
hex838e3f0

137946096 has 30 divisors (see below), whose sum is σ = 386057880. Its totient is φ = 45981984.

The previous prime is 137946091. The next prime is 137946119. The reversal of 137946096 is 690649731.

137946096 is a `hidden beast` number, since 1 + 37 + 9 + 4 + 609 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137946091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478836 + ... + 479123.

It is an arithmetic number, because the mean of its divisors is an integer number (12868596).

Almost surely, 2137946096 is an apocalyptic number.

137946096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137946096 is an abundant number, since it is smaller than the sum of its proper divisors (248111784).

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

137946096 is a wasteful number, since it uses less digits than its factorization.

137946096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957973 (or 957964 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 137946096 is about 11745.0455937812. The cubic root of 137946096 is about 516.6976321827.

The spelling of 137946096 in words is "one hundred thirty-seven million, nine hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 957959 1915918 2873877 3831836 5747754 7663672 8621631 11495508 15327344 17243262 22991016 34486524 45982032 68973048 137946096