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137646972 = 22331274509
BaseRepresentation
bin10000011010001…
…01001101111100
3100121000012011000
420031011031330
5240214200342
621354130300
73260660061
oct1015051574
9317005130
10137646972
1170775231
123a120990
1322695318
14143d0c68
15c13e44c
hex834537c

137646972 has 24 divisors (see below), whose sum is σ = 356862800. Its totient is φ = 45882288.

The previous prime is 137646967. The next prime is 137646979. The reversal of 137646972 is 279646731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137646979) 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 7 ways as a sum of consecutive naturals, for example, 637147 + ... + 637362.

Almost surely, 2137646972 is an apocalyptic number.

137646972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137646972 is an abundant number, since it is smaller than the sum of its proper divisors (219215828).

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

137646972 is a wasteful number, since it uses less digits than its factorization.

137646972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274522 (or 1274514 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 137646972 is about 11732.3046329355. The cubic root of 137646972 is about 516.3238907577.

It can be divided in two parts, 13764 and 6972, that added together give a 4-th power (20736 = 124).

The spelling of 137646972 in words is "one hundred thirty-seven million, six hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1274509 2549018 3823527 5098036 7647054 11470581 15294108 22941162 34411743 45882324 68823486 137646972