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116147808 = 25327173389
BaseRepresentation
bin1101110110001…
…00011001100000
322002112220211200
412323010121200
5214213212213
615305241200
72610145230
oct673043140
9262486750
10116147808
115a620627
1232a93200
131b0a871a
14115d5cc0
15a2e4273
hex6ec4660

116147808 has 144 divisors (see below), whose sum is σ = 399803040. Its totient is φ = 31223808.

The previous prime is 116147797. The next prime is 116147819. The reversal of 116147808 is 808741611.

It is an interprime number because it is at equal distance from previous prime (116147797) and next prime (116147819).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32578 + ... + 35966.

It is an arithmetic number, because the mean of its divisors is an integer number (2776410).

Almost surely, 2116147808 is an apocalyptic number.

116147808 is a gapful number since it is divisible by the number (18) 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 116147808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199901520).

116147808 is an abundant number, since it is smaller than the sum of its proper divisors (283655232).

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

116147808 is a wasteful number, since it uses less digits than its factorization.

116147808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 116147808 is about 10777.1892439541. The cubic root of 116147808 is about 487.9069517120.

The spelling of 116147808 in words is "one hundred sixteen million, one hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3389 3808 4284 4896 5712 6778 8568 10167 11424 13556 17136 20334 23723 27112 30501 34272 40668 47446 54224 57613 61002 71169 81336 94892 108448 115226 122004 142338 162672 172839 189784 213507 230452 244008 284676 325344 345678 379568 403291 427014 460904 488016 518517 569352 691356 759136 806582 854028 921808 976032 1037034 1138704 1209873 1382712 1613164 1708056 1843616 2074068 2277408 2419746 2765424 3226328 3416112 3629619 4148136 4839492 5530848 6452656 6832224 7259238 8296272 9678984 12905312 14518476 16592544 19357968 29036952 38715936 58073904 116147808