Search a number
-
+
138924660 = 2235753792
BaseRepresentation
bin10000100011111…
…01001001110100
3100200102002210210
420101331021310
5241031042120
621441345420
73304561110
oct1021751164
9320362723
10138924660
1171468176
123a638270
1322a21a54
1414644740
15c2e2ce0
hex847d274

138924660 has 144 divisors (see below), whose sum is σ = 458752896. Its totient is φ = 30760704.

The previous prime is 138924659. The next prime is 138924679. The reversal of 138924660 is 66429831.

It is a super-2 number, since 2×1389246602 = 38600122312231200, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1758501 + ... + 1758579.

It is an arithmetic number, because the mean of its divisors is an integer number (3185784).

Almost surely, 2138924660 is an apocalyptic number.

138924660 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 138924660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229376448).

138924660 is an abundant number, since it is smaller than the sum of its proper divisors (319828236).

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

138924660 is a wasteful number, since it uses less digits than its factorization.

138924660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 138924660 is about 11786.6305617848. The cubic root of 138924660 is about 517.9165401730.

The spelling of 138924660 in words is "one hundred thirty-eight million, nine hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 79 84 105 106 140 158 159 210 212 237 265 316 318 371 395 420 474 530 553 636 742 790 795 948 1060 1106 1113 1185 1484 1580 1590 1659 1855 2212 2226 2370 2765 3180 3318 3710 4187 4452 4740 5530 5565 6241 6636 7420 8295 8374 11060 11130 12482 12561 16590 16748 18723 20935 22260 24964 25122 29309 31205 33180 37446 41870 43687 50244 58618 62410 62805 74892 83740 87374 87927 93615 117236 124820 125610 131061 146545 174748 175854 187230 218435 251220 262122 293090 330773 351708 374460 436870 439635 524244 586180 655305 661546 873740 879270 992319 1310610 1323092 1653865 1758540 1984638 2315411 2621220 3307730 3969276 4630822 4961595 6615460 6946233 9261644 9923190 11577055 13892466 19846380 23154110 27784932 34731165 46308220 69462330 138924660