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74516112 = 2434115227
BaseRepresentation
bin1000111000100…
…00011010010000
312012012210220000
410130100122100
5123034003422
611221050000
71563243066
oct434203220
9165183800
1074516112
1139076070
1220b56900
1312590298
149c7a036
15681dcac
hex4710690

74516112 has 100 divisors (see below), whose sum is σ = 235322736. Its totient is φ = 22576320.

The previous prime is 74516087. The next prime is 74516129. The reversal of 74516112 is 21161547.

It is a happy number.

74516112 is a `hidden beast` number, since 7 + 45 + 1 + 611 + 2 = 666.

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 19 ways as a sum of consecutive naturals, for example, 11643 + ... + 16869.

Almost surely, 274516112 is an apocalyptic number.

74516112 is a gapful number since it is divisible by the number (72) 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 74516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117661368).

74516112 is an abundant number, since it is smaller than the sum of its proper divisors (160806624).

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

74516112 is a wasteful number, since it uses less digits than its factorization.

74516112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5243 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 74516112 is about 8632.2715434583. The cubic root of 74516112 is about 420.8074263654.

Adding to 74516112 its reverse (21161547), we get a palindrome (95677659).

The spelling of 74516112 in words is "seventy-four million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 5227 7128 10454 14256 15681 20908 31362 41816 47043 57497 62724 83632 94086 114994 125448 141129 172491 188172 229988 250896 282258 344982 376344 423387 459976 517473 564516 689964 752688 846774 919952 1034946 1129032 1379928 1552419 1693548 2069892 2258064 2759856 3104838 3387096 4139784 4657257 6209676 6774192 8279568 9314514 12419352 18629028 24838704 37258056 74516112