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116023752 = 2335134591
BaseRepresentation
bin1101110101001…
…10000111001000
322002022121200000
412322212013020
5214200230002
615302443000
72606120445
oct672460710
9262277600
10116023752
115a5463a9
1232a33460
131b064110
14115a29cc
15a2bc61c
hex6ea61c8

116023752 has 96 divisors (see below), whose sum is σ = 351012480. Its totient is φ = 35691840.

The previous prime is 116023729. The next prime is 116023757. The reversal of 116023752 is 257320611.

It is a happy number.

116023752 is a `hidden beast` number, since 1 + 1 + 602 + 3 + 7 + 52 = 666.

It is a super-2 number, since 2×1160237522 = 26923022056315008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116023757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22977 + ... + 27567.

It is an arithmetic number, because the mean of its divisors is an integer number (3656380).

Almost surely, 2116023752 is an apocalyptic number.

116023752 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 116023752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175506240).

116023752 is an abundant number, since it is smaller than the sum of its proper divisors (234988728).

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

116023752 is a wasteful number, since it uses less digits than its factorization.

116023752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116023752 is about 10771.4322167482. The cubic root of 116023752 is about 487.7331807550.

The spelling of 116023752 in words is "one hundred sixteen million, twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 4591 6318 8424 9182 12636 13773 18364 25272 27546 36728 41319 55092 59683 82638 110184 119366 123957 165276 179049 238732 247914 330552 358098 371871 477464 495828 537147 716196 743742 991656 1074294 1115613 1432392 1487484 1611441 2148588 2231226 2974968 3222882 4297176 4462452 4834323 6445764 8924904 9668646 12891528 14502969 19337292 29005938 38674584 58011876 116023752