Search a number
-
+
112644520 = 2354379829
BaseRepresentation
bin1101011011011…
…01000110101000
321211221221020021
412231231012220
5212314111040
615102210224
72535314452
oct655550650
9254857207
10112644520
115864854a
1231883974
131a44cc81
1410d632d2
159d5124a
hex6b6d1a8

112644520 has 64 divisors (see below), whose sum is σ = 262944000. Its totient is φ = 43400448.

The previous prime is 112644479. The next prime is 112644523. The reversal of 112644520 is 25446211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112644523) 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, 135466 + ... + 136294.

It is an arithmetic number, because the mean of its divisors is an integer number (4108500).

Almost surely, 2112644520 is an apocalyptic number.

112644520 is a gapful number since it is divisible by the number (10) 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 112644520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131472000).

112644520 is an abundant number, since it is smaller than the sum of its proper divisors (150299480).

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

112644520 is a wasteful number, since it uses less digits than its factorization.

112644520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 112644520 is about 10613.4122693882. The cubic root of 112644520 is about 482.9513187022.

The spelling of 112644520 in words is "one hundred twelve million, six hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 158 172 215 316 344 395 430 632 790 829 860 1580 1658 1720 3160 3316 3397 4145 6632 6794 8290 13588 16580 16985 27176 33160 33970 35647 65491 67940 71294 130982 135880 142588 178235 261964 285176 327455 356470 523928 654910 712940 1309820 1425880 2619640 2816113 5632226 11264452 14080565 22528904 28161130 56322260 112644520