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114156564 = 22317559591
BaseRepresentation
bin1101100110111…
…10010000010100
321221210202100220
412303132100110
5213211002224
615154434340
72554212654
oct663362024
9257722326
10114156564
1159490575
12322929b0
131a85c282
1411238364
15a04e279
hex6cde414

114156564 has 24 divisors (see below), whose sum is σ = 282034368. Its totient is φ = 35813760.

The previous prime is 114156533. The next prime is 114156571. The reversal of 114156564 is 465651411.

It is a super-5 number, since 5×1141565645 (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 279592 + ... + 279999.

It is an arithmetic number, because the mean of its divisors is an integer number (11751432).

Almost surely, 2114156564 is an apocalyptic number.

It is an amenable number.

114156564 is an abundant number, since it is smaller than the sum of its proper divisors (167877804).

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

114156564 is a wasteful number, since it uses less digits than its factorization.

114156564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559615 (or 559613 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 114156564 is about 10684.4075174995. The cubic root of 114156564 is about 485.1026303517.

The spelling of 114156564 in words is "one hundred fourteen million, one hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 559591 1119182 1678773 2238364 3357546 6715092 9513047 19026094 28539141 38052188 57078282 114156564