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68013504 = 26321331293
BaseRepresentation
bin1000000110111…
…00110111000000
311201222102222200
410003130313000
5114402413004
610425433200
71454051046
oct403346700
9151872880
1068013504
1135434609
121a93b800
13111245a0
149066396
155e87239
hex40dcdc0

68013504 has 168 divisors, whose sum is σ = 217456512. Its totient is φ = 20183040.

The previous prime is 68013503. The next prime is 68013551. The reversal of 68013504 is 40531086.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68013503) 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 23 ways as a sum of consecutive naturals, for example, 231982 + ... + 232274.

It is an arithmetic number, because the mean of its divisors is an integer number (1294384).

Almost surely, 268013504 is an apocalyptic number.

68013504 is a gapful number since it is divisible by the number (64) 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 68013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108728256).

68013504 is an abundant number, since it is smaller than the sum of its proper divisors (149443008).

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

68013504 is a wasteful number, since it uses less digits than its factorization.

68013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68013504 is about 8247.0300108585. The cubic root of 68013504 is about 408.1925273595.

The spelling of 68013504 in words is "sixty-eight million, thirteen thousand, five hundred four".