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116394408 = 23341341337
BaseRepresentation
bin1101111000000…
…00100110101000
322010000110010000
412330000212220
5214244110113
615314423000
72612223204
oct674004650
9263013100
10116394408
115a779929
1232b91a60
131b163a40
141165bb04
15a342373
hex6f009a8

116394408 has 160 divisors (see below), whose sum is σ = 360720360. Its totient is φ = 34836480.

The previous prime is 116394401. The next prime is 116394431. The reversal of 116394408 is 804493611.

116394408 is a `hidden beast` number, since 1 + 163 + 94 + 408 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35070084 + 81324324 = 5922^2 + 9018^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116394401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345216 + ... + 345552.

Almost surely, 2116394408 is an apocalyptic number.

116394408 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 116394408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180360180).

116394408 is an abundant number, since it is smaller than the sum of its proper divisors (244325952).

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

116394408 is a wasteful number, since it uses less digits than its factorization.

116394408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 116394408 is about 10788.6240086491. The cubic root of 116394408 is about 488.2520085996.

The spelling of 116394408 in words is "one hundred sixteen million, three hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 81 82 104 108 117 123 156 162 164 216 234 246 312 324 328 337 351 369 468 492 533 648 674 702 738 936 984 1011 1053 1066 1107 1348 1404 1476 1599 2022 2106 2132 2214 2696 2808 2952 3033 3198 3321 4044 4212 4264 4381 4428 4797 6066 6396 6642 8088 8424 8762 8856 9099 9594 12132 12792 13143 13284 13817 14391 17524 18198 19188 24264 26286 26568 27297 27634 28782 35048 36396 38376 39429 41451 43173 52572 54594 55268 57564 72792 78858 82902 86346 105144 109188 110536 115128 118287 124353 157716 165804 172692 179621 218376 236574 248706 315432 331608 345384 354861 359242 373059 473148 497412 538863 709722 718484 746118 946296 994824 1077726 1119177 1419444 1436968 1492236 1616589 2155452 2238354 2838888 2984472 3233178 4310904 4476708 4849767 6466356 8953416 9699534 12932712 14549301 19399068 29098602 38798136 58197204 116394408