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112517424 = 2434175107
BaseRepresentation
bin1101011010011…
…10000100110000
321211201110220000
412231032010300
5212301024144
615055350000
72534245065
oct655160460
9254643800
10112517424
1158571008
1231822300
131a407176
1410d2cc6c
159d28769
hex6b4e130

112517424 has 100 divisors (see below), whose sum is σ = 344881944. Its totient is φ = 35292672.

The previous prime is 112517423. The next prime is 112517437. The reversal of 112517424 is 424715211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112517423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19479 + ... + 24585.

Almost surely, 2112517424 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 112517424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172440972).

112517424 is an abundant number, since it is smaller than the sum of its proper divisors (232364520).

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

112517424 is a wasteful number, since it uses less digits than its factorization.

112517424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5129 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 112517424 is about 10607.4230612341. The cubic root of 112517424 is about 482.7696135156.

The spelling of 112517424 in words is "one hundred twelve million, five hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5107 5508 7344 10214 11016 15321 20428 22032 30642 40856 45963 61284 81712 86819 91926 122568 137889 173638 183852 245136 260457 275778 347276 367704 413667 520914 551556 694552 735408 781371 827334 1041828 1103112 1389104 1562742 1654668 2083656 2206224 2344113 3125484 3309336 4167312 4688226 6250968 6618672 7032339 9376452 12501936 14064678 18752904 28129356 37505808 56258712 112517424