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68430528 = 26331992
BaseRepresentation
bin1000001010000…
…10101011000000
311202202122001000
410011002223000
5120004234103
610442412000
71460435625
oct405025300
9152678030
1068430528
1135699961
121ab01000
131123c34a
14913434c
15601aaa3
hex4142ac0

68430528 has 84 divisors (see below), whose sum is σ = 202189080. Its totient is φ = 22695552.

The previous prime is 68430503. The next prime is 68430569. The reversal of 68430528 is 82503486.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a junction number, because it is equal to n+sod(n) for n = 68430492 and 68430501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343773 + ... + 343971.

Almost surely, 268430528 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 68430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101094540).

68430528 is an abundant number, since it is smaller than the sum of its proper divisors (133758552).

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

68430528 is an equidigital number, since it uses as much as digits as its factorization.

68430528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68430528 is about 8272.2746569490. The cubic root of 68430528 is about 409.0251039204.

The spelling of 68430528 in words is "sixty-eight million, four hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 199 216 288 398 432 576 597 796 864 1194 1592 1728 1791 2388 3184 3582 4776 5373 6368 7164 9552 10746 12736 14328 19104 21492 28656 38208 39601 42984 57312 79202 85968 114624 118803 158404 171936 237606 316808 343872 356409 475212 633616 712818 950424 1069227 1267232 1425636 1900848 2138454 2534464 2851272 3801696 4276908 5702544 7603392 8553816 11405088 17107632 22810176 34215264 68430528