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64984920 = 233571113541
BaseRepresentation
bin1111011111100…
…1011101011000
311112021120112220
43313321131120
5113114004140
610240504040
71416235260
oct367713530
9145246486
1064984920
1133756150
121991b020
1310603c20
1488b87a0
155a89bd0
hex3df9758

64984920 has 256 divisors, whose sum is σ = 262241280. Its totient is φ = 12441600.

The previous prime is 64984919. The next prime is 64984937. The reversal of 64984920 is 2948946.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119850 + ... + 120390.

It is an arithmetic number, because the mean of its divisors is an integer number (1024380).

Almost surely, 264984920 is an apocalyptic number.

64984920 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 64984920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131120640).

64984920 is an abundant number, since it is smaller than the sum of its proper divisors (197256360).

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

64984920 is a wasteful number, since it uses less digits than its factorization.

64984920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 64984920 is about 8061.3224721506. The cubic root of 64984920 is about 402.0414798415.

The spelling of 64984920 in words is "sixty-four million, nine hundred eighty-four thousand, nine hundred twenty".