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114660882 = 23272711831
BaseRepresentation
bin1101101010110…
…01011000010010
321222202101011100
412311121120102
5213323122012
615213325230
72561413200
oct665313022
9258671140
10114660882
11597a5466
1232496816
131a9a799b
141132a070
15a0ed8dc
hex6d59612

114660882 has 72 divisors (see below), whose sum is σ = 293222592. Its totient is φ = 32281200.

The previous prime is 114660859. The next prime is 114660901. The reversal of 114660882 is 288066411.

114660882 is a `hidden beast` number, since 1 + 1 + 46 + 608 + 8 + 2 = 666.

It is a super-2 number, since 2×1146608822 = 26294235722035848, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 61707 + ... + 63537.

It is an arithmetic number, because the mean of its divisors is an integer number (4072536).

Almost surely, 2114660882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114660882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146611296).

114660882 is an abundant number, since it is smaller than the sum of its proper divisors (178561710).

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

114660882 is a wasteful number, since it uses less digits than its factorization.

114660882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 114660882 is about 10707.9821628540. The cubic root of 114660882 is about 485.8159390386.

The spelling of 114660882 in words is "one hundred fourteen million, six hundred sixty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 426 441 497 639 882 994 1278 1491 1831 2982 3479 3662 4473 5493 6958 8946 10437 10986 12817 16479 20874 25634 31311 32958 38451 62622 76902 89719 115353 130001 179438 230706 260002 269157 390003 538314 780006 807471 910007 1170009 1614942 1820014 2340018 2730021 5460042 6370049 8190063 12740098 16380126 19110147 38220294 57330441 114660882