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64223760 = 2435713769
BaseRepresentation
bin1111010011111…
…1101000010000
311110211220102210
43310333220100
5112420130020
610212312120
71406615166
oct364775020
9143756383
1064223760
1133286297
1219612640
13103c8633
14875b236
1559893e0
hex3d3fa10

64223760 has 80 divisors (see below), whose sum is σ = 201951360. Its totient is φ = 16880640.

The previous prime is 64223729. The next prime is 64223767. The reversal of 64223760 is 6732246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (64223767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15156 + ... + 18924.

It is an arithmetic number, because the mean of its divisors is an integer number (2524392).

Almost surely, 264223760 is an apocalyptic number.

64223760 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 64223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100975680).

64223760 is an abundant number, since it is smaller than the sum of its proper divisors (137727600).

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

64223760 is a wasteful number, since it uses less digits than its factorization.

64223760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 64223760 is about 8013.9727975580. The cubic root of 64223760 is about 400.4656244411.

The spelling of 64223760 in words is "sixty-four million, two hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 3769 4260 5680 7538 8520 11307 15076 17040 18845 22614 30152 37690 45228 56535 60304 75380 90456 113070 150760 180912 226140 267599 301520 452280 535198 802797 904560 1070396 1337995 1605594 2140792 2675990 3211188 4013985 4281584 5351980 6422376 8027970 10703960 12844752 16055940 21407920 32111880 64223760