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113873292 = 2232133147167
BaseRepresentation
bin1101100100110…
…01000110001100
321221021100210100
412302121012030
5213122421132
615144411100
72551623051
oct662310614
9257240710
10113873292
1159307765
1232176a90
131a790360
14111a3028
159ee537c
hex6c9918c

113873292 has 144 divisors (see below), whose sum is σ = 328753152. Its totient is φ = 32987520.

The previous prime is 113873269. The next prime is 113873303. The reversal of 113873292 is 292378311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681793 + ... + 681959.

It is an arithmetic number, because the mean of its divisors is an integer number (2283008).

Almost surely, 2113873292 is an apocalyptic number.

113873292 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 113873292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

113873292 is an abundant number, since it is smaller than the sum of its proper divisors (214879860).

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

113873292 is a wasteful number, since it uses less digits than its factorization.

113873292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 113873292 is about 10671.1429565909. The cubic root of 113873292 is about 484.7010479186.

The spelling of 113873292 in words is "one hundred thirteen million, eight hundred seventy-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 47 52 62 78 93 94 117 124 141 156 167 186 188 234 279 282 334 372 403 423 468 501 558 564 611 668 806 846 1002 1116 1209 1222 1457 1503 1612 1692 1833 2004 2171 2418 2444 2914 3006 3627 3666 4342 4371 4836 5177 5499 5828 6012 6513 7254 7332 7849 8684 8742 10354 10998 13026 13113 14508 15531 15698 17484 18941 19539 20708 21996 23547 26052 26226 31062 31396 37882 39078 46593 47094 52452 56823 62124 67301 70641 75764 78156 93186 94188 102037 113646 134602 141282 170469 186372 201903 204074 227292 243319 269204 282564 306111 340938 403806 408148 486638 605709 612222 681876 729957 807612 918333 973276 1211418 1224444 1459914 1836666 2189871 2422836 2919828 3163147 3673332 4379742 6326294 8759484 9489441 12652588 18978882 28468323 37957764 56936646 113873292