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68363760 = 2435443643
BaseRepresentation
bin1000001001100…
…10010111110000
311202122020110010
410010302113300
5120000120020
610441134520
71460040153
oct404622760
9152566403
1068363760
1135653783
121aa8a440
1311217b3a
149117c9a
156005de0
hex41325f0

68363760 has 80 divisors (see below), whose sum is σ = 212736384. Its totient is φ = 18160896.

The previous prime is 68363741. The next prime is 68363777. The reversal of 68363760 is 6736386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105999 + ... + 106641.

Almost surely, 268363760 is an apocalyptic number.

68363760 is a gapful number since it is divisible by the number (60) 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 68363760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106368192).

68363760 is an abundant number, since it is smaller than the sum of its proper divisors (144372624).

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

68363760 is a wasteful number, since it uses less digits than its factorization.

68363760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 68363760 is about 8268.2380226987. The cubic root of 68363760 is about 408.8920313681.

The spelling of 68363760 in words is "sixty-eight million, three hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 643 886 1286 1329 1772 1929 2215 2572 2658 3215 3544 3858 4430 5144 5316 6430 6645 7088 7716 8860 9645 10288 10632 12860 13290 15432 17720 19290 21264 25720 26580 30864 35440 38580 51440 53160 77160 106320 154320 284849 569698 854547 1139396 1424245 1709094 2278792 2848490 3418188 4272735 4557584 5696980 6836376 8545470 11393960 13672752 17090940 22787920 34181880 68363760