Search a number
-
+
112317604 = 22727572
BaseRepresentation
bin1101011000111…
…01010010100100
321211100022210021
412230131102210
5212223130404
615051204524
72532453400
oct654352244
9254308707
10112317604
1158444973
1231746744
131a367229
1410cba100
159cd9454
hex6b1d4a4

112317604 has 27 divisors (see below), whose sum is σ = 228948993. Its totient is φ = 48072528.

The previous prime is 112317553. The next prime is 112317617. The reversal of 112317604 is 406713211.

The square root of 112317604 is 10598.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69388900 + 42928704 = 8330^2 + 6552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147994 + ... + 148750.

Almost surely, 2112317604 is an apocalyptic number.

112317604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112317604 is the 10598-th square number.

It is an amenable number.

112317604 is an abundant number, since it is smaller than the sum of its proper divisors (116631389).

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

112317604 is an frugal number, since it uses more digits than its factorization.

112317604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 112317604 is about 482.4836602161.

Multiplying 112317604 by its sum of digits (25), we get a square (2807940100 = 529902).

The spelling of 112317604 in words is "one hundred twelve million, three hundred seventeen thousand, six hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 757 1514 3028 5299 10598 21196 37093 74186 148372 573049 1146098 2292196 4011343 8022686 16045372 28079401 56158802 112317604