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114078512 = 24311271811
BaseRepresentation
bin1101100110010…
…11001100110000
321221122210022002
412303023030300
5213201003022
615153033132
72553436262
oct663131460
9257583262
10114078512
1159437969
12322557a8
131a8328a2
1411217b32
15a036092
hex6ccb330

114078512 has 40 divisors (see below), whose sum is σ = 230080512. Its totient is φ = 54734400.

The previous prime is 114078493. The next prime is 114078521. The reversal of 114078512 is 215870411.

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, 62087 + ... + 63897.

Almost surely, 2114078512 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 114078512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115040256).

114078512 is an abundant number, since it is smaller than the sum of its proper divisors (116002000).

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

114078512 is a wasteful number, since it uses less digits than its factorization.

114078512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 114078512 is about 10680.7542804804. The cubic root of 114078512 is about 484.9920457830.

The spelling of 114078512 in words is "one hundred fourteen million, seventy-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 496 508 1016 1811 2032 3622 3937 7244 7874 14488 15748 28976 31496 56141 62992 112282 224564 229997 449128 459994 898256 919988 1839976 3679952 7129907 14259814 28519628 57039256 114078512