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138234816 = 263379997
BaseRepresentation
bin10000011110101…
…00101111000000
3100122010001112000
420033110233000
5240342003231
621414504000
73265655646
oct1017245700
9318101460
10138234816
1171036955
123a365000
132283ca65
1414505196
15c2086e6
hex83d4bc0

138234816 has 56 divisors (see below), whose sum is σ = 406389840. Its totient is φ = 46077696.

The previous prime is 138234787. The next prime is 138234827. The reversal of 138234816 is 618432831.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38271 + ... + 41726.

Almost surely, 2138234816 is an apocalyptic number.

138234816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138234816 is an abundant number, since it is smaller than the sum of its proper divisors (268155024).

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

138234816 is an equidigital number, since it uses as much as digits as its factorization.

138234816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80018 (or 80002 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138234816 is about 11757.3303092156. The cubic root of 138234816 is about 517.0578622228.

The spelling of 138234816 in words is "one hundred thirty-eight million, two hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 79997 159994 239991 319988 479982 639976 719973 959964 1279952 1439946 1919928 2159919 2559904 2879892 3839856 4319838 5119808 5759784 7679712 8639676 11519568 15359424 17279352 23039136 34558704 46078272 69117408 138234816