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113120448 = 2637174951
BaseRepresentation
bin1101011111000…
…01010011000000
321212212010002020
412233201103000
5212424323243
615120321440
72542336140
oct657412300
9255763066
10113120448
1158943081
1231a73280
131a58879c
1411048920
159de7283
hex6be14c0

113120448 has 112 divisors (see below), whose sum is σ = 362248704. Its totient is φ = 30412800.

The previous prime is 113120443. The next prime is 113120461. The reversal of 113120448 is 844021311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113120443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20373 + ... + 25323.

Almost surely, 2113120448 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 113120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181124352).

113120448 is an abundant number, since it is smaller than the sum of its proper divisors (249128256).

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

113120448 is a wasteful number, since it uses less digits than its factorization.

113120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 113120448 is about 10635.8097011934. The cubic root of 113120448 is about 483.6305264852.

Adding to 113120448 its reverse (844021311), we get a palindrome (957141759).

The spelling of 113120448 in words is "one hundred thirteen million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 4951 5712 7616 9902 11424 14853 19804 22848 29706 34657 39608 59412 69314 79216 84167 103971 118824 138628 158432 168334 207942 237648 252501 277256 316864 336668 415884 475296 505002 554512 589169 673336 831768 950592 1010004 1109024 1178338 1346672 1663536 1767507 2020008 2218048 2356676 2693344 3327072 3535014 4040016 4713352 5386688 6654144 7070028 8080032 9426704 14140056 16160064 18853408 28280112 37706816 56560224 113120448