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113331456 = 283277027
BaseRepresentation
bin1101100000101…
…00110100000000
321220020211112100
412300110310000
5213003101311
615125030400
72544205260
oct660246400
9256224470
10113331456
1158a77667
1231b55400
131a630844
14110a17a0
159e39a56
hex6c14d00

113331456 has 108 divisors (see below), whose sum is σ = 373496032. Its totient is φ = 32375808.

The previous prime is 113331451. The next prime is 113331457. The reversal of 113331456 is 654133311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12615 + ... + 19641.

Almost surely, 2113331456 is an apocalyptic number.

113331456 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 113331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186748016).

113331456 is an abundant number, since it is smaller than the sum of its proper divisors (260164576).

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

113331456 is an equidigital number, since it uses as much as digits as its factorization.

113331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7039 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 113331456 is about 10645.7247757022. The cubic root of 113331456 is about 483.9310513536.

Adding to 113331456 its reverse (654133311), we get a palindrome (767464767).

The spelling of 113331456 in words is "one hundred thirteen million, three hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 7027 8064 14054 16128 21081 28108 42162 49189 56216 63243 84324 98378 112432 126486 147567 168648 196756 224864 252972 295134 337296 393512 442701 449728 505944 590268 674592 787024 885402 899456 1011888 1180536 1349184 1574048 1770804 1798912 2023776 2361072 2698368 3148096 3541608 4047552 4722144 5396736 6296192 7083216 8095104 9444288 12592384 14166432 16190208 18888576 28332864 37777152 56665728 113331456