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139327104 = 2737173049
BaseRepresentation
bin10000100110111…
…11011010000000
3100201011112212010
420103133122000
5241131431404
621454132520
73311155320
oct1023373200
9321145763
10139327104
1171712574
123a7b1140
1322b32c97
141470b280
15c372189
hex84df680

139327104 has 128 divisors (see below), whose sum is σ = 447984000. Its totient is φ = 37453824.

The previous prime is 139327099. The next prime is 139327109. The reversal of 139327104 is 401723931.

It is an interprime number because it is at equal distance from previous prime (139327099) and next prime (139327109).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (139327109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44172 + ... + 47220.

It is an arithmetic number, because the mean of its divisors is an integer number (3499875).

Almost surely, 2139327104 is an apocalyptic number.

139327104 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 139327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223992000).

139327104 is an abundant number, since it is smaller than the sum of its proper divisors (308656896).

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

139327104 is a wasteful number, since it uses less digits than its factorization.

139327104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 139327104 is about 11803.6902704197. The cubic root of 139327104 is about 518.4161670008.

The spelling of 139327104 in words is "one hundred thirty-nine million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3049 3264 3808 5712 6098 6528 7616 9147 11424 12196 15232 18294 21343 22848 24392 36588 42686 45696 48784 51833 64029 73176 85372 97568 103666 128058 146352 155499 170744 195136 207332 256116 292704 310998 341488 362831 390272 414664 512232 585408 621996 682976 725662 829328 1024464 1088493 1170816 1243992 1365952 1451324 1658656 2048928 2176986 2487984 2731904 2902648 3317312 4097856 4353972 4975968 5805296 6634624 8195712 8707944 9951936 11610592 17415888 19903872 23221184 34831776 46442368 69663552 139327104