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113824893 = 3731367127
BaseRepresentation
bin1101100100011…
…01010001111101
321221011220101210
412302031101331
5213114344033
615143355033
72551332000
oct662152175
9257156353
10113824893
1159284366
1232152a79
131a774310
141118d537
159ed5d63
hex6c8d47d

113824893 has 64 divisors (see below), whose sum is σ = 194969600. Its totient is φ = 58677696.

The previous prime is 113824891. The next prime is 113824903. The reversal of 113824893 is 398428311.

It is not a de Polignac number, because 113824893 - 21 = 113824891 is a prime.

It is a super-2 number, since 2×1138248932 = 25912212532922898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113824891) 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, 896196 + ... + 896322.

It is an arithmetic number, because the mean of its divisors is an integer number (3046400).

Almost surely, 2113824893 is an apocalyptic number.

113824893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113824893 is a deficient number, since it is larger than the sum of its proper divisors (81144707).

113824893 is a wasteful number, since it uses less digits than its factorization.

113824893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 113824893 is about 10668.8749641188. The cubic root of 113824893 is about 484.6323681607.

The spelling of 113824893 in words is "one hundred thirteen million, eight hundred twenty-four thousand, eight hundred ninety-three".

Divisors: 1 3 7 13 21 39 49 67 91 127 147 201 273 343 381 469 637 871 889 1029 1407 1651 1911 2613 2667 3283 4459 4953 6097 6223 8509 9849 11557 13377 18291 18669 22981 25527 34671 42679 43561 59563 68943 80899 110617 128037 130683 178689 242697 298753 331851 416941 566293 774319 896259 1250823 1698879 2322957 2918587 5420233 8755761 16260699 37941631 113824893