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114356480 = 285712763
BaseRepresentation
bin1101101000011…
…11000100000000
321222011220121012
412310033010000
5213233401410
615203020052
72556004550
oct664170400
9258156535
10114356480
1159607797
123236a628
131a8cc274
141128b160
15a08d605
hex6d0f100

114356480 has 72 divisors (see below), whose sum is σ = 313075392. Its totient is φ = 39204864.

The previous prime is 114356441. The next prime is 114356491. The reversal of 114356480 is 84653411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2579 + ... + 15341.

Almost surely, 2114356480 is an apocalyptic number.

114356480 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 114356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156537696).

114356480 is an abundant number, since it is smaller than the sum of its proper divisors (198718912).

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

114356480 is an equidigital number, since it uses as much as digits as its factorization.

114356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12791 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 114356480 is about 10693.7589275240. The cubic root of 114356480 is about 485.3856429013.

The spelling of 114356480 in words is "one hundred fourteen million, three hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 12763 25526 51052 63815 89341 102104 127630 178682 204208 255260 357364 408416 446705 510520 714728 816832 893410 1021040 1429456 1633664 1786820 2042080 2858912 3267328 3573640 4084160 5717824 7147280 8168320 11435648 14294560 16336640 22871296 28589120 57178240 114356480