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68168430 = 232511371861
BaseRepresentation
bin1000001000000…
…10101011101110
311202021022111200
410010002223232
5114422342210
610433030330
71455264531
oct404025356
9152238450
1068168430
113552aa50
121a9b53a6
1311179c65
1490a6a18
155eb80c0
hex4102aee

68168430 has 96 divisors (see below), whose sum is σ = 198682848. Its totient is φ = 16070400.

The previous prime is 68168417. The next prime is 68168431. The reversal of 68168430 is 3486186.

It is a happy number.

68168430 is a `hidden beast` number, since 68 + 168 + 430 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68168431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35700 + ... + 37560.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 268168430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68168430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99341424).

68168430 is an abundant number, since it is smaller than the sum of its proper divisors (130514418).

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

68168430 is a wasteful number, since it uses less digits than its factorization.

68168430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68168430 is about 8256.4175039783. The cubic root of 68168430 is about 408.5022289884.

The spelling of 68168430 in words is "sixty-eight million, one hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 1861 2035 2442 3330 3663 3722 4070 5583 6105 7326 9305 11166 12210 16749 18315 18610 20471 27915 33498 36630 40942 55830 61413 68857 83745 102355 122826 137714 167490 184239 204710 206571 307065 344285 368478 413142 614130 619713 688570 757427 921195 1032855 1239426 1514854 1842390 2065710 2272281 3098565 3787135 4544562 6197130 6816843 7574270 11361405 13633686 22722810 34084215 68168430