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112404456 = 23331961449
BaseRepresentation
bin1101011001100…
…10011111101000
321211111201221000
412230302133220
5212233420311
615053115000
72533264533
oct654623750
9254451830
10112404456
11584a414a
1231788a60
131a397918
1410cdda1a
159d05056
hex6b327e8

112404456 has 128 divisors (see below), whose sum is σ = 334800000. Its totient is φ = 34836480.

The previous prime is 112404449. The next prime is 112404491. The reversal of 112404456 is 654404211.

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

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, 250120 + ... + 250568.

It is an arithmetic number, because the mean of its divisors is an integer number (2615625).

Almost surely, 2112404456 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 112404456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400000).

112404456 is an abundant number, since it is smaller than the sum of its proper divisors (222395544).

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

112404456 is a wasteful number, since it uses less digits than its factorization.

112404456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 112404456 is about 10602.0967737519. The cubic root of 112404456 is about 482.6079917924.

Adding to 112404456 its reverse (654404211), we get a palindrome (766808667).

The spelling of 112404456 in words is "one hundred twelve million, four hundred four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 61 72 76 108 114 122 152 171 183 216 228 244 342 366 449 456 488 513 549 684 732 898 1026 1098 1159 1347 1368 1464 1647 1796 2052 2196 2318 2694 3294 3477 3592 4041 4104 4392 4636 5388 6588 6954 8082 8531 9272 10431 10776 12123 13176 13908 16164 17062 20862 24246 25593 27389 27816 31293 32328 34124 41724 48492 51186 54778 62586 68248 76779 82167 83448 96984 102372 109556 125172 153558 164334 204744 219112 230337 246501 250344 307116 328668 460674 493002 520391 614232 657336 739503 921348 986004 1040782 1479006 1561173 1842696 1972008 2081564 2958012 3122346 4163128 4683519 5916024 6244692 9367038 12489384 14050557 18734076 28101114 37468152 56202228 112404456