Search a number
-
+
112776504 = 233172631051
BaseRepresentation
bin1101011100011…
…01010100111000
321212012122021120
412232031110320
5212332322004
615105105240
72536404321
oct656152470
9255178246
10112776504
1158728725
1231928220
131a498079
1410d99448
159d7a3d9
hex6b8d538

112776504 has 64 divisors (see below), whose sum is σ = 299946240. Its totient is φ = 35212800.

The previous prime is 112776493. The next prime is 112776509. The reversal of 112776504 is 405677211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112776509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106779 + ... + 107829.

It is an arithmetic number, because the mean of its divisors is an integer number (4686660).

Almost surely, 2112776504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112776504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149973120).

112776504 is an abundant number, since it is smaller than the sum of its proper divisors (187169736).

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

112776504 is a wasteful number, since it uses less digits than its factorization.

112776504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 112776504 is about 10619.6282420808. The cubic root of 112776504 is about 483.1398675042.

The spelling of 112776504 in words is "one hundred twelve million, seven hundred seventy-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 263 408 526 789 1051 1052 1578 2102 2104 3153 3156 4204 4471 6306 6312 8408 8942 12612 13413 17867 17884 25224 26826 35734 35768 53601 53652 71468 107202 107304 142936 214404 276413 428808 552826 829239 1105652 1658478 2211304 3316956 4699021 6633912 9398042 14097063 18796084 28194126 37592168 56388252 112776504