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104076672 = 2737311249
BaseRepresentation
bin1100011010000…
…01010110000000
321020211122100120
412031001112000
5203120423142
614154420240
72402431350
oct615012600
9236748316
10104076672
1153826387
122aa31680
131874023b
14db72b60
15920c7ec
hex6341580

104076672 has 128 divisors (see below), whose sum is σ = 326400000. Its totient is φ = 28753920.

The previous prime is 104076647. The next prime is 104076691. The reversal of 104076672 is 276670401.

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

It is a congruent number.

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, 82704 + ... + 83952.

It is an arithmetic number, because the mean of its divisors is an integer number (2550000).

Almost surely, 2104076672 is an apocalyptic number.

104076672 is a gapful number since it is divisible by the number (12) 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 104076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163200000).

104076672 is an abundant number, since it is smaller than the sum of its proper divisors (222323328).

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

104076672 is a wasteful number, since it uses less digits than its factorization.

104076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 104076672 is about 10201.7974886782. The cubic root of 104076672 is about 470.3824742418.

The spelling of 104076672 in words is "one hundred four million, seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1249 1302 1344 1488 1736 1984 2498 2604 2688 2976 3472 3747 3968 4996 5208 5952 6944 7494 8743 9992 10416 11904 13888 14988 17486 19984 20832 26229 27776 29976 34972 38719 39968 41664 52458 59952 69944 77438 79936 83328 104916 116157 119904 139888 154876 159872 209832 232314 239808 271033 279776 309752 419664 464628 479616 542066 559552 619504 813099 839328 929256 1084132 1119104 1239008 1626198 1678656 1858512 2168264 2478016 3252396 3357312 3717024 4336528 4956032 6504792 7434048 8673056 13009584 14868096 17346112 26019168 34692224 52038336 104076672