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138834696 = 233711135779
BaseRepresentation
bin10000100011001…
…11001100001000
3100200020112101210
420101213030020
5241020202241
621435413120
73304034610
oct1021471410
9320215353
10138834696
1171406620
123a5b41a0
13229bcb10
141461da40
15c2c6316
hex8467308

138834696 has 128 divisors (see below), whose sum is σ = 466099200. Its totient is φ = 33281280.

The previous prime is 138834677. The next prime is 138834737. The reversal of 138834696 is 696438831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21135 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (3641400).

Almost surely, 2138834696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138834696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600).

138834696 is an abundant number, since it is smaller than the sum of its proper divisors (327264504).

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

138834696 is a wasteful number, since it uses less digits than its factorization.

138834696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5815 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 138834696 is about 11782.8135858970. The cubic root of 138834696 is about 517.8047196009.

The spelling of 138834696 in words is "one hundred thirty-eight million, eight hundred thirty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 5779 6006 8008 11558 12012 17337 23116 24024 34674 40453 46232 63569 69348 75127 80906 121359 127138 138696 150254 161812 190707 225381 242718 254276 300508 323624 381414 444983 450762 485436 508552 525889 601016 762828 826397 889966 901524 970872 1051778 1334949 1525656 1577667 1652794 1779932 1803048 2103556 2479191 2669898 3155334 3305588 3559864 4207112 4958382 5339796 5784779 6310668 6611176 9916764 10679592 11569558 12621336 17354337 19833528 23139116 34708674 46278232 69417348 138834696