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116378856 = 23341129563
BaseRepresentation
bin1101110111111…
…00110011101000
322002222122210000
412323330303220
5214243110411
615314223000
72612126646
oct673746350
9262878700
10116378856
115a769180
1232b84a60
131b159939
1411656196
15a33c956
hex6efcce8

116378856 has 160 divisors (see below), whose sum is σ = 368517600. Its totient is φ = 33989760.

The previous prime is 116378851. The next prime is 116378861. The reversal of 116378856 is 658873611.

116378856 is a `hidden beast` number, since 1 + 1 + 637 + 8 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116378851) and next prime (116378861).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (116378851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206431 + ... + 206993.

It is an arithmetic number, because the mean of its divisors is an integer number (2303235).

Almost surely, 2116378856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116378856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184258800).

116378856 is an abundant number, since it is smaller than the sum of its proper divisors (252138744).

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

116378856 is a wasteful number, since it uses less digits than its factorization.

116378856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 116378856 is about 10787.9032253724. The cubic root of 116378856 is about 488.2302617545.

The spelling of 116378856 in words is "one hundred sixteen million, three hundred seventy-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 81 87 88 99 108 116 132 162 174 198 216 232 261 264 297 319 324 348 396 522 563 594 638 648 696 783 792 891 957 1044 1126 1188 1276 1566 1689 1782 1914 2088 2252 2349 2376 2552 2871 3132 3378 3564 3828 4504 4698 5067 5742 6193 6264 6756 7128 7656 8613 9396 10134 11484 12386 13512 15201 16327 17226 18579 18792 20268 22968 24772 25839 30402 32654 34452 37158 40536 45603 48981 49544 51678 55737 60804 65308 68904 74316 91206 97962 103356 111474 121608 130616 146943 148632 167211 179597 182412 195924 206712 222948 293886 334422 359194 364824 391848 440829 445896 501633 538791 587772 668844 718388 881658 1003266 1077582 1175544 1322487 1337688 1436776 1616373 1763316 2006532 2155164 2644974 3232746 3526632 4013064 4310328 4849119 5289948 6465492 9698238 10579896 12930984 14547357 19396476 29094714 38792952 58189428 116378856