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112814380 = 225717107443
BaseRepresentation
bin1101011100101…
…10100100101100
321212021120020101
412232112210230
5212340030010
615110000444
72536622620
oct656264454
9255246211
10112814380
1158754128
1231946124
131a4ac393
1410da9180
159d8673a
hex6b9692c

112814380 has 96 divisors (see below), whose sum is σ = 290013696. Its totient is φ = 35982336.

The previous prime is 112814323. The next prime is 112814389. The reversal of 112814380 is 83418211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (112814389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254439 + ... + 254881.

It is an arithmetic number, because the mean of its divisors is an integer number (3020976).

Almost surely, 2112814380 is an apocalyptic number.

112814380 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 112814380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145006848).

112814380 is an abundant number, since it is smaller than the sum of its proper divisors (177199316).

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

112814380 is a wasteful number, since it uses less digits than its factorization.

112814380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 112814380 is about 10621.4113939721. The cubic root of 112814380 is about 483.1939489743.

The spelling of 112814380 in words is "one hundred twelve million, eight hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 107 119 140 170 214 238 340 428 443 476 535 595 749 886 1070 1190 1498 1772 1819 2140 2215 2380 2996 3101 3638 3745 4430 6202 7276 7490 7531 8860 9095 12404 12733 14980 15062 15505 18190 25466 30124 31010 36380 37655 47401 50932 52717 62020 63665 75310 94802 105434 127330 150620 189604 210868 237005 254660 263585 331807 474010 527170 663614 805817 948020 1054340 1327228 1611634 1659035 3223268 3318070 4029085 5640719 6636140 8058170 11281438 16116340 22562876 28203595 56407190 112814380