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114076664 = 231317113571
BaseRepresentation
bin1101100110010…
…10101111111000
321221122200202122
412303022233320
5213200423124
615153020412
72553431012
oct663125770
9257580678
10114076664
1159436539
1232254708
131a831ab0
14112171b2
15a03575e
hex6ccabf8

114076664 has 64 divisors (see below), whose sum is σ = 246486240. Its totient is φ = 49029120.

The previous prime is 114076663. The next prime is 114076717. The reversal of 114076664 is 466670411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114076663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199499 + ... + 200069.

Almost surely, 2114076664 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 114076664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123243120).

114076664 is an abundant number, since it is smaller than the sum of its proper divisors (132409576).

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

114076664 is a wasteful number, since it uses less digits than its factorization.

114076664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 114076664 is about 10680.6677693860. The cubic root of 114076664 is about 484.9894269137.

The spelling of 114076664 in words is "one hundred fourteen million, seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 113 136 221 226 442 452 571 884 904 1142 1469 1768 1921 2284 2938 3842 4568 5876 7423 7684 9707 11752 14846 15368 19414 24973 29692 38828 49946 59384 64523 77656 99892 126191 129046 199784 252382 258092 504764 516184 838799 1009528 1096891 1677598 2193782 3355196 4387564 6710392 8775128 14259583 28519166 57038332 114076664