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112472280 = 23335223467
BaseRepresentation
bin1101011010000…
…11000011011000
321211122011222000
412231003003120
5212243103110
615054401000
72533666344
oct655030330
9254564860
10112472280
11585400a8
1231800160
131a3bc75b
1410d1a624
159d1a1c0
hex6b430d8

112472280 has 128 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 29794176.

The previous prime is 112472263. The next prime is 112472293. The reversal of 112472280 is 82274211.

112472280 is a `hidden beast` number, since 112 + 472 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240607 + ... + 241073.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2112472280 is an apocalyptic number.

112472280 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 112472280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

112472280 is an abundant number, since it is smaller than the sum of its proper divisors (264922920).

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

112472280 is a wasteful number, since it uses less digits than its factorization.

112472280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 112472280 is about 10605.2949039619. The cubic root of 112472280 is about 482.7050396151.

The spelling of 112472280 in words is "one hundred twelve million, four hundred seventy-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 223 270 360 446 467 540 669 892 934 1080 1115 1338 1401 1784 1868 2007 2230 2335 2676 2802 3345 3736 4014 4203 4460 4670 5352 5604 6021 6690 7005 8028 8406 8920 9340 10035 11208 12042 12609 13380 14010 16056 16812 18680 20070 21015 24084 25218 26760 28020 30105 33624 40140 42030 48168 50436 56040 60210 63045 80280 84060 100872 104141 120420 126090 168120 208282 240840 252180 312423 416564 504360 520705 624846 833128 937269 1041410 1249692 1562115 1874538 2082820 2499384 2811807 3124230 3749076 4165640 4686345 5623614 6248460 7498152 9372690 11247228 12496920 14059035 18745380 22494456 28118070 37490760 56236140 112472280