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116914392 = 233272311069
BaseRepresentation
bin1101111011111…
…11100011011000
322010222212101200
412331333203120
5214412230032
615333514200
72616520200
oct675774330
9263885350
10116914392
115aaa4571
12331a2960
131b2b661a
1411755400
15a3e647c
hex6f7f8d8

116914392 has 144 divisors (see below), whose sum is σ = 380577600. Its totient is φ = 32296320.

The previous prime is 116914379. The next prime is 116914393. The reversal of 116914392 is 293419611.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116914393) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108834 + ... + 109902.

It is an arithmetic number, because the mean of its divisors is an integer number (2642900).

Almost surely, 2116914392 is an apocalyptic number.

116914392 is a gapful number since it is divisible by the number (12) 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 116914392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190288800).

116914392 is an abundant number, since it is smaller than the sum of its proper divisors (263663208).

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

116914392 is a wasteful number, since it uses less digits than its factorization.

116914392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 116914392 is about 10812.6958710582. The cubic root of 116914392 is about 488.9780059612.

The spelling of 116914392 in words is "one hundred sixteen million, nine hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1069 1116 1176 1302 1519 1736 1764 1953 2138 2232 2604 3038 3207 3528 3906 4276 4557 5208 6076 6414 7483 7812 8552 9114 9621 12152 12828 13671 14966 15624 18228 19242 22449 25656 27342 29932 33139 36456 38484 44898 52381 54684 59864 66278 67347 76968 89796 99417 104762 109368 132556 134694 157143 179592 198834 209524 231973 265112 269388 298251 314286 397668 419048 463946 471429 538776 596502 628572 695919 795336 927892 942858 1193004 1257144 1391838 1623811 1855784 1885716 2087757 2386008 2783676 3247622 3771432 4175514 4871433 5567352 6495244 8351028 9742866 12990488 14614299 16702056 19485732 29228598 38971464 58457196 116914392