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116614624 = 2574312107
BaseRepresentation
bin1101111001101…
…10010111100000
322010102122012011
412330312113200
5214323131444
615323242304
72614131220
oct674662740
9263378164
10116614624
115a90a325
1233079394
131b210049
14116b8080
15a387734
hex6f365e0

116614624 has 48 divisors (see below), whose sum is σ = 268507008. Its totient is φ = 48811392.

The previous prime is 116614613. The next prime is 116614627. The reversal of 116614624 is 426416611.

It is a super-2 number, since 2×1166146242 = 27197941061322752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116614627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3579 + ... + 15685.

It is an arithmetic number, because the mean of its divisors is an integer number (5593896).

Almost surely, 2116614624 is an apocalyptic number.

116614624 is a gapful number since it is divisible by the number (14) 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 116614624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134253504).

116614624 is an abundant number, since it is smaller than the sum of its proper divisors (151892384).

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

116614624 is a wasteful number, since it uses less digits than its factorization.

116614624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12167 (or 12159 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 116614624 is about 10798.8251212806. The cubic root of 116614624 is about 488.5597357724.

The spelling of 116614624 in words is "one hundred sixteen million, six hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 12107 24214 48428 84749 96856 169498 193712 338996 387424 520601 677992 1041202 1355984 2082404 2711968 3644207 4164808 7288414 8329616 14576828 16659232 29153656 58307312 116614624