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112769460 = 223252327239
BaseRepresentation
bin1101011100010…
…11100110110100
321212012021121200
412232023212310
5212332110320
615105012500
72536344636
oct656134664
9255167550
10112769460
1158723401
1231924130
131a494abb
1410d96a56
159d78290
hex6b8b9b4

112769460 has 72 divisors (see below), whose sum is σ = 356952960. Its totient is φ = 28763328.

The previous prime is 112769453. The next prime is 112769471. The reversal of 112769460 is 64967211.

It is a super-2 number, since 2×1127694602 = 25433902217383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9480 + ... + 17759.

It is an arithmetic number, because the mean of its divisors is an integer number (4957680).

Almost surely, 2112769460 is an apocalyptic number.

112769460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112769460 is an abundant number, since it is smaller than the sum of its proper divisors (244183500).

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

112769460 is a wasteful number, since it uses less digits than its factorization.

112769460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27277 (or 27272 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 112769460 is about 10619.2965868743. The cubic root of 112769460 is about 483.1298083520.

It can be divided in two parts, 11276 and 9460, that added together give a 4-th power (20736 = 124).

The spelling of 112769460 in words is "one hundred twelve million, seven hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 27239 54478 81717 108956 136195 163434 245151 272390 326868 408585 490302 544780 626497 817170 980604 1225755 1252994 1634340 1879491 2451510 2505988 3132485 3758982 4903020 5638473 6264970 7517964 9397455 11276946 12529940 18794910 22553892 28192365 37589820 56384730 112769460