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68819136 = 2632271579
BaseRepresentation
bin1000001101000…
…01100011000000
311210111101002220
410012201203000
5120104203021
610455011040
71463644611
oct406414300
9153441086
1068819136
1135934921
121b069a80
13113471a9
1491d5c08
156095cc6
hex41a18c0

68819136 has 56 divisors (see below), whose sum is σ = 183001920. Its totient is φ = 22824192.

The previous prime is 68819131. The next prime is 68819143. The reversal of 68819136 is 63191886.

It is not an unprimeable number, because it can be changed into a prime (68819131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42795 + ... + 44373.

Almost surely, 268819136 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 68819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91500960).

68819136 is an abundant number, since it is smaller than the sum of its proper divisors (114182784).

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

68819136 is a wasteful number, since it uses less digits than its factorization.

68819136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1811 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 68819136 is about 8295.7299859627. The cubic root of 68819136 is about 409.7979095268.

The spelling of 68819136 in words is "sixty-eight million, eight hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1579 1816 2724 3158 3632 4737 5448 6316 7264 9474 10896 12632 14528 18948 21792 25264 37896 43584 50528 75792 101056 151584 303168 358433 716866 1075299 1433732 2150598 2867464 4301196 5734928 8602392 11469856 17204784 22939712 34409568 68819136