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137640924 = 22332355411
BaseRepresentation
bin10000011010000…
…11101111011100
3100120222212212000
420031003233130
5240214002144
621354042300
73260633331
oct1015035734
9316885760
10137640924
1170770733
123a119390
1322692645
14143cc988
15c13c769
hex8343bdc

137640924 has 48 divisors (see below), whose sum is σ = 372368640. Its totient is φ = 43884720.

The previous prime is 137640887. The next prime is 137640929. The reversal of 137640924 is 429046731.

137640924 is a `hidden beast` number, since 1 + 3 + 7 + 640 + 9 + 2 + 4 = 666.

137640924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137640929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25222 + ... + 30189.

It is an arithmetic number, because the mean of its divisors is an integer number (7757680).

Almost surely, 2137640924 is an apocalyptic number.

It is an amenable number.

137640924 is an abundant number, since it is smaller than the sum of its proper divisors (234727716).

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

137640924 is a wasteful number, since it uses less digits than its factorization.

137640924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55447 (or 55439 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137640924 is about 11732.0468802336. The cubic root of 137640924 is about 516.3163284830.

The spelling of 137640924 in words is "one hundred thirty-seven million, six hundred forty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 55411 110822 166233 221644 332466 498699 664932 997398 1274453 1496097 1994796 2548906 2992194 3823359 5097812 5984388 7646718 11470077 15293436 22940154 34410231 45880308 68820462 137640924