Search a number
-
+
137293696 = 271956453
BaseRepresentation
bin10000010111011…
…10111110000000
3100120100020112201
420023232332000
5240121344241
621342402544
73254656111
oct1013567600
9316306481
10137293696
1170553871
1239b90454
13225a0597
141433c208
15c0be931
hex82eef80

137293696 has 32 divisors (see below), whose sum is σ = 287915400. Its totient is φ = 65032704.

The previous prime is 137293687. The next prime is 137293697. The reversal of 137293696 is 696392731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1372936962 = 37699117922680832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137293697) 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 3 ways as a sum of consecutive naturals, for example, 25795 + ... + 30658.

Almost surely, 2137293696 is an apocalyptic number.

137293696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137293696 is an abundant number, since it is smaller than the sum of its proper divisors (150621704).

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

137293696 is an equidigital number, since it uses as much as digits as its factorization.

137293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56486 (or 56474 counting only the distinct ones).

The product of its digits is 367416, while the sum is 46.

The square root of 137293696 is about 11717.2392652877. The cubic root of 137293696 is about 515.8817909216.

The spelling of 137293696 in words is "one hundred thirty-seven million, two hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 56453 112906 225812 451624 903248 1072607 1806496 2145214 3612992 4290428 7225984 8580856 17161712 34323424 68646848 137293696