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116401194 = 232713179397
BaseRepresentation
bin1101111000000…
…10010000101010
322010000210102100
412330002100222
5214244314234
615314514230
72612252040
oct674022052
9263023370
10116401194
115a783a38
1232b95976
131b166b60
1411660390
15a344399
hex6f0242a

116401194 has 96 divisors (see below), whose sum is σ = 312923520. Its totient is φ = 30450816.

The previous prime is 116401189. The next prime is 116401247. The reversal of 116401194 is 491104611.

116401194 is a `hidden beast` number, since 1 + 1 + 640 + 1 + 19 + 4 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 293004 + ... + 293400.

It is an arithmetic number, because the mean of its divisors is an integer number (3259620).

Almost surely, 2116401194 is an apocalyptic number.

116401194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116401194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156461760).

116401194 is an abundant number, since it is smaller than the sum of its proper divisors (196522326).

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

116401194 is a wasteful number, since it uses less digits than its factorization.

116401194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 116401194 is about 10788.9385020029. The cubic root of 116401194 is about 488.2614970673.

The spelling of 116401194 in words is "one hundred sixteen million, four hundred one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 179 182 234 273 358 397 537 546 794 819 1074 1191 1253 1611 1638 2327 2382 2506 2779 3222 3573 3759 4654 5161 5558 6981 7146 7518 8337 10322 11277 13962 15483 16289 16674 20943 22554 25011 30966 32578 36127 41886 46449 48867 50022 71063 72254 92898 97734 108381 142126 146601 213189 216762 293202 325143 426378 497441 639567 650286 923819 994882 1279134 1492323 1847638 2771457 2984646 4476969 5542914 6466733 8314371 8953938 12933466 16628742 19400199 38800398 58200597 116401194