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113319948 = 223724392
BaseRepresentation
bin1101100000100…
…10000000001100
321220020020202010
412300102000030
5213002214243
615124501220
72544126600
oct660220014
9256206663
10113319948
1158a69a55
1231b4a810
131a628531
141109b500
159e36433
hex6c1200c

113319948 has 54 divisors (see below), whose sum is σ = 308284956. Its totient is φ = 32303376.

The previous prime is 113319929. The next prime is 113319991. The reversal of 113319948 is 849913311.

It is a happy number.

It is a super-2 number, since 2×1133199482 = 25682821229445408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 257913 + ... + 258351.

Almost surely, 2113319948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113319948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154142478).

113319948 is an abundant number, since it is smaller than the sum of its proper divisors (194965008).

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

113319948 is an equidigital number, since it uses as much as digits as its factorization.

113319948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 451 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 113319948 is about 10645.1842633183. The cubic root of 113319948 is about 483.9146708850.

The spelling of 113319948 in words is "one hundred thirteen million, three hundred nineteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 439 588 878 1317 1756 2634 3073 5268 6146 9219 12292 18438 21511 36876 43022 64533 86044 129066 192721 258132 385442 578163 770884 1156326 1349047 2312652 2698094 4047141 5396188 8094282 9443329 16188564 18886658 28329987 37773316 56659974 113319948