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64350720 = 293357219
BaseRepresentation
bin1111010101111…
…0101000000000
311111002100121000
43311132220000
5112433210340
610215132000
71410654300
oct365365000
9144070530
1064350720
1133362715
1219674000
1310441365
148791600
1559b1d30
hex3d5ea00

64350720 has 480 divisors, whose sum is σ = 279892800. Its totient is φ = 13934592.

The previous prime is 64350709. The next prime is 64350731. The reversal of 64350720 is 2705346.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64350709) and next prime (64350731).

It is a tau number, because it is divible by the number of its divisors (480).

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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386871 + ... + 3386889.

It is an arithmetic number, because the mean of its divisors is an integer number (583110).

Almost surely, 264350720 is an apocalyptic number.

64350720 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 64350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946400).

64350720 is an abundant number, since it is smaller than the sum of its proper divisors (215542080).

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

64350720 is a wasteful number, since it uses less digits than its factorization.

64350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 64350720 is about 8021.8900516026. The cubic root of 64350720 is about 400.7293360308.

The spelling of 64350720 in words is "sixty-four million, three hundred fifty thousand, seven hundred twenty".