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138692620 = 225112223257
BaseRepresentation
bin10000100010001…
…00100000001100
3100122222022111201
420101010200030
5241001130440
621432355244
73302603443
oct1021044014
9318868451
10138692620
1171319900
123a545b24
1322970251
14145c3d5a
15c29919a
hex844480c

138692620 has 72 divisors (see below), whose sum is σ = 322826112. Its totient is φ = 50012160.

The previous prime is 138692611. The next prime is 138692633. The reversal of 138692620 is 26296831.

It is a self number, because there is not a number n which added to its sum of digits gives 138692620.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539532 + ... + 539788.

It is an arithmetic number, because the mean of its divisors is an integer number (4483696).

Almost surely, 2138692620 is an apocalyptic number.

138692620 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 138692620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161413056).

138692620 is an abundant number, since it is smaller than the sum of its proper divisors (184133492).

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

138692620 is a wasteful number, since it uses less digits than its factorization.

138692620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 138692620 is about 11776.7830921691. The cubic root of 138692620 is about 517.6280280994.

The spelling of 138692620 in words is "one hundred thirty-eight million, six hundred ninety-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 223 242 257 446 484 514 605 892 1028 1115 1210 1285 2230 2420 2453 2570 2827 4460 4906 5140 5654 9812 11308 12265 14135 24530 26983 28270 31097 49060 53966 56540 57311 62194 107932 114622 124388 134915 155485 229244 269830 286555 310970 539660 573110 621940 630421 1146220 1260842 2521684 3152105 6304210 6934631 12608420 13869262 27738524 34673155 69346310 138692620