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114658608 = 24317227619
BaseRepresentation
bin1101101010110…
…00110100110000
321222202021001010
412311120310300
5213323033413
615213310520
72561403441
oct665306460
9258667033
10114658608
11597a3789
1232495440
131a9a693c
14113292c8
15a0ecdc3
hex6d58d30

114658608 has 80 divisors (see below), whose sum is σ = 315515520. Its totient is φ = 35755008.

The previous prime is 114658603. The next prime is 114658619. The reversal of 114658608 is 806856411.

It is not an unprimeable number, because it can be changed into a prime (114658603) 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 15 ways as a sum of consecutive naturals, for example, 184923 + ... + 185541.

It is an arithmetic number, because the mean of its divisors is an integer number (3943944).

Almost surely, 2114658608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114658608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

114658608 is an abundant number, since it is smaller than the sum of its proper divisors (200856912).

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

114658608 is a wasteful number, since it uses less digits than its factorization.

114658608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 114658608 is about 10707.8759798571. The cubic root of 114658608 is about 485.8127273860.

The spelling of 114658608 in words is "one hundred fourteen million, six hundred fifty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 227 272 408 454 619 681 816 908 1238 1362 1816 1857 2476 2724 3632 3714 3859 4952 5448 7428 7718 9904 10523 10896 11577 14856 15436 21046 23154 29712 30872 31569 42092 46308 61744 63138 84184 92616 126276 140513 168368 185232 252552 281026 421539 505104 562052 843078 1124104 1686156 2248208 2388721 3372312 4777442 6744624 7166163 9554884 14332326 19109768 28664652 38219536 57329304 114658608