Search a number
-
+
138676512 = 25313111119
BaseRepresentation
bin10000100010000…
…00100100100000
3100122221111102010
420101000210200
5241000122022
621432152520
73302505462
oct1021004440
9318844363
10138676512
1171308797
123a538740
1322965b10
14145bc132
15c29450c
hex8440920

138676512 has 48 divisors (see below), whose sum is σ = 392031360. Its totient is φ = 42669312.

The previous prime is 138676501. The next prime is 138676513. The reversal of 138676512 is 215676831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1386765122 = 38462349960972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (138676513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54312 + ... + 56807.

It is an arithmetic number, because the mean of its divisors is an integer number (8167320).

Almost surely, 2138676512 is an apocalyptic number.

138676512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138676512 is an abundant number, since it is smaller than the sum of its proper divisors (253354848).

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

138676512 is a wasteful number, since it uses less digits than its factorization.

138676512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111145 (or 111137 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 138676512 is about 11776.0991843649. The cubic root of 138676512 is about 517.6079879197.

The spelling of 138676512 in words is "one hundred thirty-eight million, six hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 111119 222238 333357 444476 666714 888952 1333428 1444547 1777904 2666856 2889094 3555808 4333641 5333712 5778188 8667282 10667424 11556376 17334564 23112752 34669128 46225504 69338256 138676512