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113493042 = 233131967127
BaseRepresentation
bin1101100001111…
…00010000110010
321220120001012000
412300330100302
5213023234132
615132314430
72545450335
oct660742062
9256501160
10113493042
1159078003
1232012a16
131a689260
141110461c
159e6c87c
hex6c3c432

113493042 has 128 divisors (see below), whose sum is σ = 292454400. Its totient is φ = 32332608.

The previous prime is 113493013. The next prime is 113493047. The reversal of 113493042 is 240394311.

113493042 is a `hidden beast` number, since 11 + 349 + 304 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113492997 and 113493015.

It is not an unprimeable number, because it can be changed into a prime (113493047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 893583 + ... + 893709.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 2113493042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113493042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146227200).

113493042 is an abundant number, since it is smaller than the sum of its proper divisors (178961358).

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

113493042 is a wasteful number, since it uses less digits than its factorization.

113493042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 113493042 is about 10653.3113162059. The cubic root of 113493042 is about 484.1609355984.

The spelling of 113493042 in words is "one hundred thirteen million, four hundred ninety-three thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 67 78 114 117 127 134 171 201 234 247 254 342 351 381 402 494 513 603 702 741 762 871 1026 1143 1206 1273 1482 1651 1742 1809 2223 2286 2413 2546 2613 3302 3429 3618 3819 4446 4826 4953 5226 6669 6858 7239 7638 7839 8509 9906 11457 13338 14478 14859 15678 16549 17018 21717 22914 23517 25527 29718 31369 33098 34371 43434 44577 47034 49647 51054 62738 65151 68742 76581 89154 94107 99294 110617 130302 148941 153162 161671 188214 221234 229743 282321 297882 323342 331851 446823 459486 485013 564642 663702 846963 893646 970026 995553 1455039 1693926 1991106 2101723 2910078 2986659 4203446 4365117 5973318 6305169 8730234 12610338 18915507 37831014 56746521 113493042