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74120112 = 24321173641
BaseRepresentation
bin1000110101011…
…11101110110000
312011110200200100
410122233232300
5122433320422
611204352400
71560003423
oct432575660
9164420610
1074120112
11389255a0
12209a5700
1312481c71
149bb59ba
1567917ac
hex46afbb0

74120112 has 120 divisors (see below), whose sum is σ = 229748688. Its totient is φ = 22118400.

The previous prime is 74120093. The next prime is 74120113. The reversal of 74120112 is 21102147.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (74120113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115312 + ... + 115952.

Almost surely, 274120112 is an apocalyptic number.

74120112 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 74120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114874344).

74120112 is an abundant number, since it is smaller than the sum of its proper divisors (155628576).

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

74120112 is a wasteful number, since it uses less digits than its factorization.

74120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 74120112 is about 8609.3038046058. The cubic root of 74120112 is about 420.0606715073.

Adding to 74120112 its reverse (21102147), we get a palindrome (95222259).

The spelling of 74120112 in words is "seventy-four million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 198 219 264 292 396 438 528 584 641 657 792 803 876 1168 1282 1314 1584 1606 1752 1923 2409 2564 2628 3212 3504 3846 4818 5128 5256 5769 6424 7051 7227 7692 9636 10256 10512 11538 12848 14102 14454 15384 19272 21153 23076 28204 28908 30768 38544 42306 46152 46793 56408 57816 63459 84612 92304 93586 112816 115632 126918 140379 169224 187172 253836 280758 338448 374344 421137 507672 514723 561516 748688 842274 1015344 1029446 1123032 1544169 1684548 2058892 2246064 3088338 3369096 4117784 4632507 6176676 6738192 8235568 9265014 12353352 18530028 24706704 37060056 74120112