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138971056 = 24721710427
BaseRepresentation
bin10000100100010…
…00011110110000
3100200111110110011
420102020132300
5241034033211
621442344304
73305143300
oct1022103660
9320443404
10138971056
117149a014
123a65b094
1322a39bc3
1414657600
15c301921
hex84887b0

138971056 has 60 divisors (see below), whose sum is σ = 331672968. Its totient is φ = 56050176.

The previous prime is 138971023. The next prime is 138971059. The reversal of 138971056 is 650179831.

It is not an unprimeable number, because it can be changed into a prime (138971059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8115 + ... + 18541.

Almost surely, 2138971056 is an apocalyptic number.

138971056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165836484).

138971056 is an abundant number, since it is smaller than the sum of its proper divisors (192701912).

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

138971056 is a wasteful number, since it uses less digits than its factorization.

138971056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10466 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 138971056 is about 11788.5985596253. The cubic root of 138971056 is about 517.9741891205.

The spelling of 138971056 in words is "one hundred thirty-eight million, nine hundred seventy-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 6664 10427 13328 20854 41708 72989 83416 145978 166832 177259 291956 354518 510923 583912 709036 1021846 1167824 1240813 1418072 2043692 2481626 2836144 4087384 4963252 8174768 8685691 9926504 17371382 19853008 34742764 69485528 138971056