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68399424 = 2633231721
BaseRepresentation
bin1000001001110…
…11000101000000
311202201001101000
410010323011000
5120002240144
610442012000
71460246142
oct404730500
9152631330
1068399424
1135678555
121aaa7000
131122b142
149126c92
156011769
hex413b140

68399424 has 112 divisors (see below), whose sum is σ = 209946240. Its totient is φ = 21795840.

The previous prime is 68399417. The next prime is 68399431. The reversal of 68399424 is 42499386.

It is an interprime number because it is at equal distance from previous prime (68399417) and next prime (68399431).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68399424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38884 + ... + 40604.

It is an arithmetic number, because the mean of its divisors is an integer number (1874520).

Almost surely, 268399424 is an apocalyptic number.

68399424 is a gapful number since it is divisible by the number (64) 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 68399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104973120).

68399424 is an abundant number, since it is smaller than the sum of its proper divisors (141546816).

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

68399424 is a wasteful number, since it uses less digits than its factorization.

68399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1749 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 68399424 is about 8270.3944283208. The cubic root of 68399424 is about 408.9631225929.

The spelling of 68399424 in words is "sixty-eight million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1721 1728 2208 2484 3312 3442 4416 4968 5163 6624 6884 9936 10326 13248 13768 15489 19872 20652 27536 30978 39583 39744 41304 46467 55072 61956 79166 82608 92934 110144 118749 123912 158332 165216 185868 237498 247824 316664 330432 356247 371736 474996 495648 633328 712494 743472 949992 991296 1068741 1266656 1424988 1486944 1899984 2137482 2533312 2849976 2973888 3799968 4274964 5699952 7599936 8549928 11399904 17099856 22799808 34199712 68399424