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113778126 = 232711103797
BaseRepresentation
bin1101100100000…
…01110111001110
321221002112020200
412302001313032
5213111400001
615142354330
72551045440
oct662016716
9257075220
10113778126
1159252210
123212b9a6
131a758c47
141117a490
159ec7086
hex6c81dce

113778126 has 96 divisors (see below), whose sum is σ = 310722048. Its totient is φ = 29229120.

The previous prime is 113778113. The next prime is 113778131. The reversal of 113778126 is 621877311.

It is a congruent number.

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, 142360 + ... + 143156.

It is an arithmetic number, because the mean of its divisors is an integer number (3236688).

Almost surely, 2113778126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113778126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155361024).

113778126 is an abundant number, since it is smaller than the sum of its proper divisors (196943922).

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

113778126 is a wasteful number, since it uses less digits than its factorization.

113778126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 923 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 113778126 is about 10666.6829895708. The cubic root of 113778126 is about 484.5659857665.

It can be divided in two parts, 11377 and 8126, that added together give a triangular number (19503 = T197).

The spelling of 113778126 in words is "one hundred thirteen million, seven hundred seventy-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 103 126 154 198 206 231 309 462 618 693 721 797 927 1133 1386 1442 1594 1854 2163 2266 2391 3399 4326 4782 5579 6489 6798 7173 7931 8767 10197 11158 12978 14346 15862 16737 17534 20394 23793 26301 33474 47586 50211 52602 61369 71379 78903 82091 100422 122738 142758 157806 164182 184107 246273 368214 492546 552321 574637 738819 903001 1104642 1149274 1477638 1723911 1806002 2709003 3447822 5171733 5418006 6321007 8127009 10343466 12642014 16254018 18963021 37926042 56889063 113778126