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112425664 = 2613163829
BaseRepresentation
bin1101011001101…
…11101011000000
321211112211000111
412230313223000
5212240110124
615053401104
72533413421
oct654675300
9254484014
10112425664
115850907a
1231799194
131a3a4480
1410d07648
159d0b494
hex6b37ac0

112425664 has 56 divisors (see below), whose sum is σ = 242021360. Its totient is φ = 51508224.

The previous prime is 112425637. The next prime is 112425671. The reversal of 112425664 is 466524211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135202 + ... + 136030.

It is an arithmetic number, because the mean of its divisors is an integer number (4321810).

Almost surely, 2112425664 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 112425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121010680).

112425664 is an abundant number, since it is smaller than the sum of its proper divisors (129595696).

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

112425664 is a wasteful number, since it uses less digits than its factorization.

112425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 112425664 is about 10603.0969060930. The cubic root of 112425664 is about 482.6383420324.

Adding to 112425664 its reverse (466524211), we get a palindrome (578949875).

The spelling of 112425664 in words is "one hundred twelve million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 163 208 326 416 652 829 832 1304 1658 2119 2608 3316 4238 5216 6632 8476 10432 10777 13264 16952 21554 26528 33904 43108 53056 67808 86216 135127 135616 172432 270254 344864 540508 689728 1081016 1756651 2162032 3513302 4324064 7026604 8648128 14053208 28106416 56212832 112425664