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139979136 = 27311311069
BaseRepresentation
bin10000101011111…
…10100110000000
3100202101200021110
420111332212000
5241313313021
621520123320
73316542303
oct1025764600
9322350243
10139979136
1172018440
123aa66540
13230009bb
141483ab3a
15c450476
hex857e980

139979136 has 128 divisors (see below), whose sum is σ = 419097600. Its totient is φ = 41011200.

The previous prime is 139979131. The next prime is 139979209. The reversal of 139979136 is 631979931.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139979131) 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, 130410 + ... + 131478.

It is an arithmetic number, because the mean of its divisors is an integer number (3274200).

Almost surely, 2139979136 is an apocalyptic number.

139979136 is a gapful number since it is divisible by the number (16) 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 139979136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209548800).

139979136 is an abundant number, since it is smaller than the sum of its proper divisors (279118464).

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

139979136 is a wasteful number, since it uses less digits than its factorization.

139979136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its digits is 275562, while the sum is 48.

The square root of 139979136 is about 11831.2778684299. The cubic root of 139979136 is about 519.2236145710.

The spelling of 139979136 in words is "one hundred thirty-nine million, nine hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 264 341 352 372 384 496 528 682 704 744 992 1023 1056 1069 1364 1408 1488 1984 2046 2112 2138 2728 2976 3207 3968 4092 4224 4276 5456 5952 6414 8184 8552 10912 11759 11904 12828 16368 17104 21824 23518 25656 32736 33139 34208 35277 43648 47036 51312 65472 66278 68416 70554 94072 99417 102624 130944 132556 136832 141108 188144 198834 205248 265112 282216 364529 376288 397668 410496 530224 564432 729058 752576 795336 1060448 1093587 1128864 1458116 1505152 1590672 2120896 2187174 2257728 2916232 3181344 4241792 4374348 4515456 5832464 6362688 8748696 11664928 12725376 17497392 23329856 34994784 46659712 69989568 139979136