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68300688 = 24331197233
BaseRepresentation
bin1000001001000…
…10111110010000
311202112000221010
410010202332100
5114441110223
610435530520
71456355241
oct404427620
9152460833
1068300688
1135610355
121aa59a40
13111c5211
1490dccc8
155ee2393
hex4122f90

68300688 has 80 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 21826560.

The previous prime is 68300633. The next prime is 68300689. The reversal of 68300688 is 88600386.

It is not an unprimeable number, because it can be changed into a prime (68300689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293020 + ... + 293252.

Almost surely, 268300688 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 68300688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

68300688 is an abundant number, since it is smaller than the sum of its proper divisors (115544688).

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

68300688 is a wasteful number, since it uses less digits than its factorization.

68300688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68300688 is about 8264.4230288629. The cubic root of 68300688 is about 408.7662455551.

The spelling of 68300688 in words is "sixty-eight million, three hundred thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 197 233 248 372 394 466 496 591 699 744 788 932 1182 1398 1488 1576 1864 2364 2796 3152 3728 4728 5592 6107 7223 9456 11184 12214 14446 18321 21669 24428 28892 36642 43338 45901 48856 57784 73284 86676 91802 97712 115568 137703 146568 173352 183604 275406 293136 346704 367208 550812 734416 1101624 1422931 2203248 2845862 4268793 5691724 8537586 11383448 17075172 22766896 34150344 68300688