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138876976 = 2472307577
BaseRepresentation
bin10000100011100…
…01100000110000
3100200022200101201
420101301200300
5241023030401
621440340544
73304302100
oct1021614060
9320280351
10138876976
1171435367
123a614754
1322a06134
1414631200
15c2d3b01
hex8471830

138876976 has 60 divisors (see below), whose sum is σ = 314568408. Its totient is φ = 59222016.

The previous prime is 138876953. The next prime is 138876977. The reversal of 138876976 is 679678831.

It is not an unprimeable number, because it can be changed into a prime (138876977) 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, 240400 + ... + 240976.

Almost surely, 2138876976 is an apocalyptic number.

138876976 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 138876976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157284204).

138876976 is an abundant number, since it is smaller than the sum of its proper divisors (175691432).

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

138876976 is a wasteful number, since it uses less digits than its factorization.

138876976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 55.

The square root of 138876976 is about 11784.6075878665. The cubic root of 138876976 is about 517.8572774561.

The spelling of 138876976 in words is "one hundred thirty-eight million, eight hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 307 392 577 614 784 1154 1228 2149 2308 2456 4039 4298 4616 4912 8078 8596 9232 15043 16156 17192 28273 30086 32312 34384 56546 60172 64624 113092 120344 177139 226184 240688 354278 452368 708556 1239973 1417112 2479946 2834224 4959892 8679811 9919784 17359622 19839568 34719244 69438488 138876976