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138127660 = 225113771239
BaseRepresentation
bin10000011101110…
…10100100101100
3100121220121112021
420032322210230
5240330041120
621412315524
73265031356
oct1016724454
9317817467
10138127660
1170a733a0
123a312ba4
1322803058
14144b80d6
15c1d6aaa
hex83ba92c

138127660 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 47980800.

The previous prime is 138127657. The next prime is 138127679. The reversal of 138127660 is 66721831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577821 + ... + 578059.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2138127660 is an apocalyptic number.

138127660 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 138127660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

138127660 is an abundant number, since it is smaller than the sum of its proper divisors (192818900).

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

138127660 is a wasteful number, since it uses less digits than its factorization.

138127660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 138127660 is about 11752.7724388759. The cubic root of 138127660 is about 516.9242244595.

The spelling of 138127660 in words is "one hundred thirty-eight million, one hundred twenty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 71 74 110 142 148 185 220 239 284 355 370 407 478 710 740 781 814 956 1195 1420 1562 1628 2035 2390 2627 2629 3124 3905 4070 4780 5254 5258 7810 8140 8843 10508 10516 13135 13145 15620 16969 17686 26270 26290 28897 33938 35372 44215 52540 52580 57794 67876 84845 88430 97273 115588 144485 169690 176860 186659 194546 288970 339380 373318 389092 486365 577940 627853 746636 933295 972730 1255706 1866590 1945460 2511412 3139265 3733180 6278530 6906383 12557060 13812766 27625532 34531915 69063830 138127660