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1368717056 = 28717179251
BaseRepresentation
bin101000110010100…
…1111011100000000
310112101111000211022
41101211033130000
510300342421211
6343452205012
745626621510
oct12145173400
93471430738
101368717056
11642672423
12322469768
1318a747865
14cdacb840
1580265bdb
hex5194f700

1368717056 has 144 divisors (see below), whose sum is σ = 3337770240. Its totient is φ = 546816000.

The previous prime is 1368717043. The next prime is 1368717083. The reversal of 1368717056 is 6507178631.

It is a junction number, because it is equal to n+sod(n) for n = 1368716998 and 1368717016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5452931 + ... + 5453181.

It is an arithmetic number, because the mean of its divisors is an integer number (23178960).

Almost surely, 21368717056 is an apocalyptic number.

1368717056 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 1368717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668885120).

1368717056 is an abundant number, since it is smaller than the sum of its proper divisors (1969053184).

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

1368717056 is a wasteful number, since it uses less digits than its factorization.

1368717056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 1368717056 is about 36996.1762348489. The cubic root of 1368717056 is about 1110.2937447292.

The spelling of 1368717056 in words is "one billion, three hundred sixty-eight million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 179 224 238 251 256 272 358 448 476 502 544 716 896 952 1004 1088 1253 1432 1757 1792 1904 2008 2176 2506 2864 3043 3514 3808 4016 4267 4352 5012 5728 6086 7028 7616 8032 8534 10024 11456 12172 14056 15232 16064 17068 20048 21301 22912 24344 28112 29869 30464 32128 34136 40096 42602 44929 45824 48688 56224 59738 64256 68272 80192 85204 89858 97376 112448 119476 136544 160384 170408 179716 194752 224896 238952 273088 314503 320768 340816 359432 389504 449792 477904 546176 629006 681632 718864 763793 779008 955808 1092352 1258012 1363264 1437728 1527586 1911616 2516024 2726528 2875456 3055172 3823232 5032048 5346551 5453056 5750912 6110344 7646464 10064096 10693102 11501824 12220688 20128192 21386204 24441376 40256384 42772408 48882752 80512768 85544816 97765504 171089632 195531008 342179264 684358528 1368717056