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114865664 = 29317237
BaseRepresentation
bin1101101100010…
…11011000000000
322000010210001212
412312023120000
5213401200124
615221545252
72563225214
oct666133000
9260123055
10114865664
1159925301
1232575228
131aa49c64
1411380944
15a13e40e
hex6d8b600

114865664 has 40 divisors (see below), whose sum is σ = 236943168. Its totient is φ = 55572480.

The previous prime is 114865643. The next prime is 114865721. The reversal of 114865664 is 466568411.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12254 + ... + 19490.

Almost surely, 2114865664 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 114865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118471584).

114865664 is an abundant number, since it is smaller than the sum of its proper divisors (122077504).

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

114865664 is an frugal number, since it uses more digits than its factorization.

114865664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7270 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 114865664 is about 10717.5400162537. The cubic root of 114865664 is about 486.1049861536.

The spelling of 114865664 in words is "one hundred fourteen million, eight hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7237 7936 14474 15872 28948 57896 115792 224347 231584 448694 463168 897388 926336 1794776 1852672 3589552 3705344 7179104 14358208 28716416 57432832 114865664