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114690564 = 22323185849
BaseRepresentation
bin1101101011000…
…00101000000100
321222210212212200
412311200220010
5213330044224
615214114500
72561565552
oct665405004
9258725780
10114690564
115981579a
12324aba30
131a9b8351
1411336bd2
15a1075c9
hex6d60a04

114690564 has 18 divisors (see below), whose sum is σ = 289912350. Its totient is φ = 38230176.

The previous prime is 114690547. The next prime is 114690577. The reversal of 114690564 is 465096411.

114690564 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 90 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112529664 + 2160900 = 10608^2 + 1470^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3185849 = 114690564 / (1 + 1 + 4 + 6 + 9 + 0 + 5 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1592889 + ... + 1592960.

Almost surely, 2114690564 is an apocalyptic number.

It is an amenable number.

114690564 is an abundant number, since it is smaller than the sum of its proper divisors (175221786).

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

114690564 is a wasteful number, since it uses less digits than its factorization.

114690564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185859 (or 3185854 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 114690564 is about 10709.3680485825. The cubic root of 114690564 is about 485.8578561084.

The spelling of 114690564 in words is "one hundred fourteen million, six hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3185849 6371698 9557547 12743396 19115094 28672641 38230188 57345282 114690564