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114677928 = 233231191269
BaseRepresentation
bin1101101010111…
…01100010101000
321222210020112200
412311131202220
5213324143203
615213540200
72561513661
oct665354250
9258706480
10114677928
1159807252
12324a4660
131a9b2681
1411332368
15a1039a3
hex6d5d8a8

114677928 has 96 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 36662400.

The previous prime is 114677923. The next prime is 114677957. The reversal of 114677928 is 829776411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114677923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426178 + ... + 426446.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2114677928 is an apocalyptic number.

114677928 is a gapful number since it is divisible by the number (18) 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 114677928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

114677928 is an abundant number, since it is smaller than the sum of its proper divisors (208803672).

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

114677928 is a wasteful number, since it uses less digits than its factorization.

114677928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 114677928 is about 10708.7780815553. The cubic root of 114677928 is about 485.8400123698.

The spelling of 114677928 in words is "one hundred fourteen million, six hundred seventy-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 191 248 269 279 372 382 538 558 573 744 764 807 1076 1116 1146 1528 1614 1719 2152 2232 2292 2421 3228 3438 4584 4842 5921 6456 6876 8339 9684 11842 13752 16678 17763 19368 23684 25017 33356 35526 47368 50034 51379 53289 66712 71052 75051 100068 102758 106578 142104 150102 154137 200136 205516 213156 300204 308274 411032 426312 462411 600408 616548 924822 1233096 1592749 1849644 3185498 3699288 4778247 6370996 9556494 12741992 14334741 19112988 28669482 38225976 57338964 114677928