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138836620 = 2251317101311
BaseRepresentation
bin10000100011001…
…11101010001100
3100200020122001001
420101213222030
5241020232440
621435430044
73304043326
oct1021475214
9320218031
10138836620
117140800a
123a5b5324
13229c0960
1414620616
15c2c6b9a
hex8467a8c

138836620 has 96 divisors (see below), whose sum is σ = 336825216. Its totient is φ = 47616000.

The previous prime is 138836611. The next prime is 138836623. The reversal of 138836620 is 26638831.

It is a self number, because there is not a number n which added to its sum of digits gives 138836620.

It is not an unprimeable number, because it can be changed into a prime (138836623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446265 + ... + 446575.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2138836620 is an apocalyptic number.

138836620 is a gapful number since it is divisible by the number (10) 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 138836620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

138836620 is an abundant number, since it is smaller than the sum of its proper divisors (197988596).

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

138836620 is a wasteful number, since it uses less digits than its factorization.

138836620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 138836620 is about 11782.8952299509. The cubic root of 138836620 is about 517.8071115382.

It can be divided in two parts, 13883 and 6620, that added together give a triangular number (20503 = T202).

The spelling of 138836620 in words is "one hundred thirty-eight million, eight hundred thirty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 101 130 170 202 221 260 311 340 404 442 505 622 884 1010 1105 1244 1313 1555 1717 2020 2210 2626 3110 3434 4043 4420 5252 5287 6220 6565 6868 8086 8585 10574 13130 16172 17170 20215 21148 22321 26260 26435 31411 34340 40430 44642 52870 62822 68731 80860 89284 105740 111605 125644 137462 157055 223210 274924 314110 343655 408343 446420 533987 628220 687310 816686 1067974 1374620 1633372 2041715 2135948 2669935 4083430 5339870 6941831 8166860 10679740 13883662 27767324 34709155 69418310 138836620