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67928112 = 2433723209
BaseRepresentation
bin1000000110010…
…00000000110000
311201211002212000
410003020000300
5114342144422
610423534000
71453244100
oct403100060
9151732760
1067928112
113538643a
121a8ba300
13110c4765
149043200
155e6bcac
hex40c8030

67928112 has 120 divisors (see below), whose sum is σ = 226882800. Its totient is φ = 19401984.

The previous prime is 67928111. The next prime is 67928117. The reversal of 67928112 is 21182976.

It is a super-2 number, since 2×679281122 = 9228456799769088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (67928111) 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, 19564 + ... + 22772.

It is an arithmetic number, because the mean of its divisors is an integer number (1890690).

Almost surely, 267928112 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 67928112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113441400).

67928112 is an abundant number, since it is smaller than the sum of its proper divisors (158954688).

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

67928112 is a wasteful number, since it uses less digits than its factorization.

67928112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3221 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 67928112 is about 8241.8512483543. The cubic root of 67928112 is about 408.0216251514.

The spelling of 67928112 in words is "sixty-seven million, nine hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3209 3528 5292 6418 7056 9627 10584 12836 19254 21168 22463 25672 28881 38508 44926 51344 57762 67389 77016 86643 89852 115524 134778 154032 157241 173286 179704 202167 231048 269556 314482 346572 359408 404334 462096 471723 539112 606501 628964 693144 808668 943446 1078224 1213002 1257928 1386288 1415169 1617336 1886892 2426004 2515856 2830338 3234672 3773784 4245507 4852008 5660676 7547568 8491014 9704016 11321352 16982028 22642704 33964056 67928112