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64072880 = 245898999
BaseRepresentation
bin1111010001101…
…0110010110000
311110120020110122
43310122302300
5112400313010
610205145412
71405416254
oct364326260
9143506418
1064072880
11331929a3
121955b268
1310374a61
14871c264
155959855
hex3d1acb0

64072880 has 40 divisors (see below), whose sum is σ = 150660000. Its totient is φ = 25338368.

The previous prime is 64072859. The next prime is 64072907. The reversal of 64072880 is 8827046.

64072880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 64072880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2621 + ... + 11619.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 264072880 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 64072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75330000).

64072880 is an abundant number, since it is smaller than the sum of its proper divisors (86587120).

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

64072880 is a wasteful number, since it uses less digits than its factorization.

64072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 64072880 is about 8004.5537039863. The cubic root of 64072880 is about 400.1517757364.

The spelling of 64072880 in words is "sixty-four million, seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 8999 17998 35996 44995 71992 89990 143984 179980 359960 719920 800911 1601822 3203644 4004555 6407288 8009110 12814576 16018220 32036440 64072880