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64720320 = 263579631
BaseRepresentation
bin1111011011100…
…0110111000000
311111210010120220
43312320313000
5113032022240
610231103040
71414053660
oct366706700
9144703526
1064720320
1133595375
1219811a80
1310540662
14884a1a0
155a365d0
hex3db8dc0

64720320 has 112 divisors (see below), whose sum is σ = 234866688. Its totient is φ = 14791680.

The previous prime is 64720303. The next prime is 64720339. The reversal of 64720320 is 2302746.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905 + ... + 11535.

It is an arithmetic number, because the mean of its divisors is an integer number (2097024).

Almost surely, 264720320 is an apocalyptic number.

64720320 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 64720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117433344).

64720320 is an abundant number, since it is smaller than the sum of its proper divisors (170146368).

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

64720320 is a wasteful number, since it uses less digits than its factorization.

64720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 64720320 is about 8044.8940328633. The cubic root of 64720320 is about 401.4950716067.

The spelling of 64720320 in words is "sixty-four million, seven hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 9631 19262 28893 38524 48155 57786 67417 77048 96310 115572 134834 144465 154096 192620 202251 231144 269668 288930 308192 337085 385240 404502 462288 539336 577860 616384 674170 770480 809004 924576 1011255 1078672 1155720 1348340 1540960 1618008 1849152 2022510 2157344 2311440 2696680 3081920 3236016 4045020 4314688 4622880 5393360 6472032 8090040 9245760 10786720 12944064 16180080 21573440 32360160 64720320