Search a number
-
+
113300352 = 2732118941
BaseRepresentation
bin1101100000011…
…01001110000000
321220012020212100
412300031032000
5213001102402
615124230400
72544015504
oct660151600
9256166770
10113300352
1158a56260
1231b3b400
131a61c639
1411094304
159e3071c
hex6c0d380

113300352 has 96 divisors (see below), whose sum is σ = 355712760. Its totient is φ = 34329600.

The previous prime is 113300347. The next prime is 113300353. The reversal of 113300352 is 253003311.

113300352 is a `hidden beast` number, since 1 + 13 + 300 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113300353) 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, 8202 + ... + 17142.

Almost surely, 2113300352 is an apocalyptic number.

113300352 is a gapful number since it is divisible by the number (12) 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 113300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177856380).

113300352 is an abundant number, since it is smaller than the sum of its proper divisors (242412408).

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

113300352 is a wasteful number, since it uses less digits than its factorization.

113300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 113300352 is about 10644.2638073283. The cubic root of 113300352 is about 483.8867754182.

Adding to 113300352 its reverse (253003311), we get a palindrome (366303663).

The spelling of 113300352 in words is "one hundred thirteen million, three hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 8941 12672 17882 26823 35764 53646 71528 80469 98351 107292 143056 160938 196702 214584 286112 295053 321876 393404 429168 572224 590106 643752 786808 858336 885159 1144448 1180212 1287504 1573616 1716672 1770318 2360424 2575008 3147232 3433344 3540636 4720848 5150016 6294464 7081272 9441696 10300032 12588928 14162544 18883392 28325088 37766784 56650176 113300352