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116642592 = 2534114091
BaseRepresentation
bin1101111001111…
…01001100100000
322010111001120000
412330331030200
5214330030332
615324020000
72614305603
oct674751440
9263431500
10116642592
115a929340
1233091600
131b21c9b1
14116c433a
15a390b7c
hex6f3d320

116642592 has 120 divisors (see below), whose sum is σ = 374319792. Its totient is φ = 35337600.

The previous prime is 116642569. The next prime is 116642609. The reversal of 116642592 is 295246611.

116642592 is a `hidden beast` number, since 1 + 1 + 6 + 64 + 2 + 592 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26467 + ... + 30557.

Almost surely, 2116642592 is an apocalyptic number.

116642592 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 116642592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187159896).

116642592 is an abundant number, since it is smaller than the sum of its proper divisors (257677200).

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

116642592 is a wasteful number, since it uses less digits than its factorization.

116642592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4107 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 116642592 is about 10800.1199993333. The cubic root of 116642592 is about 488.5987901838.

The spelling of 116642592 in words is "one hundred sixteen million, six hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4091 4752 7128 8182 9504 12273 14256 16364 24546 28512 32728 36819 45001 49092 65456 73638 90002 98184 110457 130912 135003 147276 180004 196368 220914 270006 294552 331371 360008 392736 405009 441828 540012 589104 662742 720016 810018 883656 1080024 1178208 1215027 1325484 1440032 1620036 1767312 2160048 2430054 2650968 3240072 3534624 3645081 4320096 4860108 5301936 6480144 7290162 9720216 10603872 12960288 14580324 19440432 29160648 38880864 58321296 116642592