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139338304 = 2673179127
BaseRepresentation
bin10000100111000…
…10001001000000
3100201012010012221
420103202021000
5241132311204
621454300424
73311233060
oct1023421100
9321163187
10139338304
117171aa26
123a7b7714
1322b38101
14147113a0
15c375654
hex84e2240

139338304 has 112 divisors (see below), whose sum is σ = 332922880. Its totient is φ = 56609280.

The previous prime is 139338299. The next prime is 139338313. The reversal of 139338304 is 403833931.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 139338304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097089 + ... + 1097215.

Almost surely, 2139338304 is an apocalyptic number.

139338304 is a gapful number since it is divisible by the number (14) 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 139338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166461440).

139338304 is an abundant number, since it is smaller than the sum of its proper divisors (193584576).

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

139338304 is a wasteful number, since it uses less digits than its factorization.

139338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 139338304 is about 11804.1646887868. The cubic root of 139338304 is about 518.4300578263.

The spelling of 139338304 in words is "one hundred thirty-nine million, three hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 79 112 124 127 158 217 224 248 254 316 434 448 496 508 553 632 868 889 992 1016 1106 1264 1736 1778 1984 2032 2212 2449 2528 3472 3556 3937 4064 4424 4898 5056 6944 7112 7874 8128 8848 9796 10033 13888 14224 15748 17143 17696 19592 20066 27559 28448 31496 34286 35392 39184 40132 55118 56896 62992 68572 70231 78368 80264 110236 125984 137144 140462 156736 160528 220472 251968 274288 280924 311023 321056 440944 548576 561848 622046 642112 881888 1097152 1123696 1244092 1763776 2177161 2247392 2488184 4354322 4494784 4976368 8708644 9952736 17417288 19905472 34834576 69669152 139338304