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114625480 = 23519473209
BaseRepresentation
bin1101101010100…
…00101111001000
321222200120121011
412311100233020
5213321003410
615212453304
72561205034
oct665205710
9258616534
10114625480
1159780902
123247a234
131a994838
141131b1c4
15a0e318a
hex6d50bc8

114625480 has 64 divisors (see below), whose sum is σ = 277344000. Its totient is φ = 42499584.

The previous prime is 114625451. The next prime is 114625513. The reversal of 114625480 is 84526411.

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 15 ways as a sum of consecutive naturals, for example, 34116 + ... + 37324.

It is an arithmetic number, because the mean of its divisors is an integer number (4333500).

Almost surely, 2114625480 is an apocalyptic number.

114625480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114625480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138672000).

114625480 is an abundant number, since it is smaller than the sum of its proper divisors (162718520).

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

114625480 is a wasteful number, since it uses less digits than its factorization.

114625480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 114625480 is about 10706.3289693527. The cubic root of 114625480 is about 485.7659346955.

The spelling of 114625480 in words is "one hundred fourteen million, six hundred twenty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 47 76 94 95 152 188 190 235 376 380 470 760 893 940 1786 1880 3209 3572 4465 6418 7144 8930 12836 16045 17860 25672 32090 35720 60971 64180 121942 128360 150823 243884 301646 304855 487768 603292 609710 754115 1206584 1219420 1508230 2438840 2865637 3016460 5731274 6032920 11462548 14328185 22925096 28656370 57312740 114625480