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114039296 = 29747677
BaseRepresentation
bin1101100110000…
…01101000000000
321221120210111122
412303001220000
5213143224141
615152131412
72553214040
oct663015000
9257523448
10114039296
1159410458
1232236b68
131a81aa97
1411207720
15a02964b
hex6cc1a00

114039296 has 80 divisors (see below), whose sum is σ = 266340096. Its totient is φ = 47763456.

The previous prime is 114039259. The next prime is 114039307. The reversal of 114039296 is 692930411.

It is a super-2 number, since 2×1140392962 = 26009922064351232, which contains 22 as substring.

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, 168110 + ... + 168786.

Almost surely, 2114039296 is an apocalyptic number.

114039296 is a gapful number since it is divisible by the number (16) 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 114039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133170048).

114039296 is an abundant number, since it is smaller than the sum of its proper divisors (152300800).

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

114039296 is an frugal number, since it uses more digits than its factorization.

114039296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 114039296 is about 10678.9182972809. The cubic root of 114039296 is about 484.9364652665.

The spelling of 114039296 in words is "one hundred fourteen million, thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 512 658 677 752 896 1316 1354 1504 1792 2632 2708 3008 3584 4739 5264 5416 6016 9478 10528 10832 12032 18956 21056 21664 24064 31819 37912 42112 43328 63638 75824 84224 86656 127276 151648 168448 173312 222733 254552 303296 346624 445466 509104 606592 890932 1018208 1213184 1781864 2036416 2426368 3563728 4072832 7127456 8145664 14254912 16291328 28509824 57019648 114039296