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114431296 = 267733499
BaseRepresentation
bin1101101001000…
…01010101000000
321222022201020011
412310201111000
5213243300141
615204354304
72556435640
oct664412500
9258281204
10114431296
1159658a21
12323a5994
131a927335
14112aa520
15a0a5881
hex6d21540

114431296 has 56 divisors (see below), whose sum is σ = 263144000. Its totient is φ = 48356352.

The previous prime is 114431237. The next prime is 114431309. The reversal of 114431296 is 692134411.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 30955 + ... + 34453.

It is an arithmetic number, because the mean of its divisors is an integer number (4699000).

Almost surely, 2114431296 is an apocalyptic number.

114431296 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 114431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131572000).

114431296 is an abundant number, since it is smaller than the sum of its proper divisors (148712704).

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

114431296 is an equidigital number, since it uses as much as digits as its factorization.

114431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3581 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 114431296 is about 10697.2564707031. The cubic root of 114431296 is about 485.4914719012.

The spelling of 114431296 in words is "one hundred fourteen million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 3499 4088 4672 6998 8176 13996 16352 24493 27992 32704 48986 55984 97972 111968 195944 223936 255427 391888 510854 783776 1021708 1567552 1787989 2043416 3575978 4086832 7151956 8173664 14303912 16347328 28607824 57215648 114431296