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137696440 = 2357491773
BaseRepresentation
bin10000011010100…
…01010010111000
3100121002201000011
420031101102320
5240222241230
621355151304
73261254230
oct1015212270
9317081004
10137696440
11707a9412
123a145534
13226b19ab
1414404cc0
15c14de2a
hex83514b8

137696440 has 32 divisors (see below), whose sum is σ = 354077280. Its totient is φ = 47210112.

The previous prime is 137696411. The next prime is 137696443. The reversal of 137696440 is 44696731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 137696393 and 137696402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137696443) 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 7 ways as a sum of consecutive naturals, for example, 245607 + ... + 246166.

It is an arithmetic number, because the mean of its divisors is an integer number (11064915).

Almost surely, 2137696440 is an apocalyptic number.

137696440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137696440 is an abundant number, since it is smaller than the sum of its proper divisors (216380840).

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

137696440 is a wasteful number, since it uses less digits than its factorization.

137696440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491791 (or 491787 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 137696440 is about 11734.4126397532. The cubic root of 137696440 is about 516.3857360487.

The spelling of 137696440 in words is "one hundred thirty-seven million, six hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 491773 983546 1967092 2458865 3442411 3934184 4917730 6884822 9835460 13769644 17212055 19670920 27539288 34424110 68848220 137696440