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114023664 = 24327310847
BaseRepresentation
bin1101100101111…
…01110011110000
321221120000001200
412302331303300
5213142224124
615151531200
72553120336
oct662756360
9257500050
10114023664
11593aa737
1232229b00
131a813931
1411201b56
15a024bc9
hex6cbdcf0

114023664 has 60 divisors (see below), whose sum is σ = 323509056. Its totient is φ = 37483776.

The previous prime is 114023653. The next prime is 114023669. The reversal of 114023664 is 466320411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114023669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5089 + ... + 15935.

Almost surely, 2114023664 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 114023664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161754528).

114023664 is an abundant number, since it is smaller than the sum of its proper divisors (209485392).

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

114023664 is a wasteful number, since it uses less digits than its factorization.

114023664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 114023664 is about 10678.1863628614. The cubic root of 114023664 is about 484.9143066086.

The spelling of 114023664 in words is "one hundred fourteen million, twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 10847 21694 32541 43388 65082 86776 97623 130164 173552 195246 260328 390492 520656 780984 791831 1561968 1583662 2375493 3167324 4750986 6334648 7126479 9501972 12669296 14252958 19003944 28505916 38007888 57011832 114023664