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68951520 = 25335111451
BaseRepresentation
bin1000001110000…
…01110111100000
311210202002201000
410013001313200
5120122422040
610501512000
71465035561
oct407016740
9153662630
1068951520
1135a15330
121b112600
1311392521
14922c168
1560c0130
hex41c1de0

68951520 has 192 divisors, whose sum is σ = 263450880. Its totient is φ = 16704000.

The previous prime is 68951501. The next prime is 68951521. The reversal of 68951520 is 2515986.

It is a happy number.

68951520 is a `hidden beast` number, since 6 + 89 + 51 + 520 = 666.

It is a super-2 number, since 2×689515202 = 9508624220620800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68951521) 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 31 ways as a sum of consecutive naturals, for example, 46795 + ... + 48245.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 268951520 is an apocalyptic number.

68951520 is a gapful number since it is divisible by the number (60) 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 68951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

68951520 is an abundant number, since it is smaller than the sum of its proper divisors (194499360).

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

68951520 is a wasteful number, since it uses less digits than its factorization.

68951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 68951520 is about 8303.7051970792. The cubic root of 68951520 is about 410.0605106010.

The spelling of 68951520 in words is "sixty-eight million, nine hundred fifty-one thousand, five hundred twenty".