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68924016 = 24327101677
BaseRepresentation
bin1000001101110…
…11001001110000
311210200200222100
410012323021300
5120121032031
610501140400
71464562440
oct406731160
9153620870
1068924016
11359a66a7
121b0ba700
1311382b55
149222120
1560b6de6
hex41bb270

68924016 has 120 divisors (see below), whose sum is σ = 222958944. Its totient is φ = 19468800.

The previous prime is 68923999. The next prime is 68924021. The reversal of 68924016 is 61042986.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101470 + ... + 102146.

Almost surely, 268924016 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 68924016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111479472).

68924016 is an abundant number, since it is smaller than the sum of its proper divisors (154034928).

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

68924016 is a wasteful number, since it uses less digits than its factorization.

68924016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68924016 is about 8302.0489037345. The cubic root of 68924016 is about 410.0059804799.

The spelling of 68924016 in words is "sixty-eight million, nine hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 677 707 808 909 1008 1212 1354 1414 1616 1818 2031 2121 2424 2708 2828 3636 4062 4242 4739 4848 5416 5656 6093 6363 7272 8124 8484 9478 10832 11312 12186 12726 14217 14544 16248 16968 18956 24372 25452 28434 32496 33936 37912 42651 48744 50904 56868 68377 75824 85302 97488 101808 113736 136754 170604 205131 227472 273508 341208 410262 478639 547016 615393 682416 820524 957278 1094032 1230786 1435917 1641048 1914556 2461572 2871834 3282096 3829112 4307751 4923144 5743668 7658224 8615502 9846288 11487336 17231004 22974672 34462008 68924016