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112280364 = 223374433
BaseRepresentation
bin1101011000101…
…00001100101100
321211021102201000
412230110030230
5212220432424
615050320300
72532240000
oct654241454
9254242630
10112280364
1158419999
1231729090
131a3532b1
1410caa700
159ccd3c9
hex6b1432c

112280364 has 120 divisors (see below), whose sum is σ = 340377520. Its totient is φ = 32006016.

The previous prime is 112280317. The next prime is 112280369. The reversal of 112280364 is 463082211.

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 (112280369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259092 + ... + 259524.

Almost surely, 2112280364 is an apocalyptic number.

112280364 is a gapful number since it is divisible by the number (14) 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 112280364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170188760).

112280364 is an abundant number, since it is smaller than the sum of its proper divisors (228097156).

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

112280364 is an equidigital number, since it uses as much as digits as its factorization.

112280364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 112280364 is about 10596.2429190728. The cubic root of 112280364 is about 482.4303302630.

The spelling of 112280364 in words is "one hundred twelve million, two hundred eighty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 433 441 588 686 756 866 882 1029 1299 1323 1372 1732 1764 2058 2401 2598 2646 3031 3087 3897 4116 4802 5196 5292 6062 6174 7203 7794 9093 9261 9604 11691 12124 12348 14406 15588 18186 18522 21217 21609 23382 27279 28812 36372 37044 42434 43218 46764 54558 63651 64827 81837 84868 86436 109116 127302 129654 148519 163674 190953 254604 259308 297038 327348 381906 445557 572859 594076 763812 891114 1039633 1145718 1336671 1782228 2079266 2291436 2673342 3118899 4010013 4158532 5346684 6237798 8020026 9356697 12475596 16040052 18713394 28070091 37426788 56140182 112280364