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138370056 = 233111274127
BaseRepresentation
bin10000011111101…
…01110000001000
3100122100221000220
420033311300020
5240410320211
621421430040
73300061146
oct1017656010
9318327026
10138370056
1171119520
123a40b320
1322889496
141453c596
15c233806
hex83f5c08

138370056 has 64 divisors (see below), whose sum is σ = 380436480. Its totient is φ = 41590080.

The previous prime is 138370051. The next prime is 138370061. The reversal of 138370056 is 650073831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138370051) and next prime (138370061).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 138369999 and 138370026.

It is not an unprimeable number, because it can be changed into a prime (138370051) 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, 31465 + ... + 35591.

It is an arithmetic number, because the mean of its divisors is an integer number (5944320).

Almost surely, 2138370056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138370056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190218240).

138370056 is an abundant number, since it is smaller than the sum of its proper divisors (242066424).

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

138370056 is a wasteful number, since it uses less digits than its factorization.

138370056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 138370056 is about 11763.0802088569. The cubic root of 138370056 is about 517.2264259168.

The spelling of 138370056 in words is "one hundred thirty-eight million, three hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4127 4191 5588 8254 8382 11176 12381 16508 16764 24762 33016 33528 45397 49524 90794 99048 136191 181588 272382 363176 524129 544764 1048258 1089528 1572387 2096516 3144774 4193032 5765419 6289548 11530838 12579096 17296257 23061676 34592514 46123352 69185028 138370056