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116078592 = 211372699
BaseRepresentation
bin1101110101100…
…11100000000000
322002102101220010
412322303200000
5214204003332
615303544520
72606436360
oct672634000
9262371803
10116078592
115a583623
1232a5b140
131b083076
14115b89a0
15a2cd9cc
hex6eb3800

116078592 has 96 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 33153024.

The previous prime is 116078587. The next prime is 116078603. The reversal of 116078592 is 295870611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 116078592.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 41659 + ... + 44357.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2116078592 is an apocalyptic number.

116078592 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 116078592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

116078592 is an abundant number, since it is smaller than the sum of its proper divisors (237729408).

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

116078592 is an equidigital number, since it uses as much as digits as its factorization.

116078592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 116078592 is about 10773.9775384952. The cubic root of 116078592 is about 487.8100129385.

The spelling of 116078592 in words is "one hundred sixteen million, seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 2699 3072 3584 5376 5398 6144 7168 8097 10752 10796 14336 16194 18893 21504 21592 32388 37786 43008 43184 56679 64776 75572 86368 113358 129552 151144 172736 226716 259104 302288 345472 453432 518208 604576 690944 906864 1036416 1209152 1381888 1813728 2072832 2418304 2763776 3627456 4145664 4836608 5527552 7254912 8291328 9673216 14509824 16582656 19346432 29019648 38692864 58039296 116078592