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64685760 = 2635431567
BaseRepresentation
bin1111011011000…
…0011011000000
311111201101011220
43312300123000
5113024421020
610230235040
71413551136
oct366603300
9144641156
1064685760
1133571407
12197b5a80
131052a9c9
14883b756
155a2b240
hex3db06c0

64685760 has 112 divisors (see below), whose sum is σ = 210287616. Its totient is φ = 16837632.

The previous prime is 64685759. The next prime is 64685791. The reversal of 64685760 is 6758646.

It is a happy number.

It is a super-3 number, since 3×646857603 (a number of 24 digits) contains 333 as substring.

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, 40497 + ... + 42063.

It is an arithmetic number, because the mean of its divisors is an integer number (1877568).

Almost surely, 264685760 is an apocalyptic number.

64685760 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 64685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105143808).

64685760 is an abundant number, since it is smaller than the sum of its proper divisors (145601856).

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

64685760 is a wasteful number, since it uses less digits than its factorization.

64685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 64685760 is about 8042.7457997875. The cubic root of 64685760 is about 401.4235941056.

The spelling of 64685760 in words is "sixty-four million, six hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1567 1720 2064 2580 2752 3134 3440 4128 4701 5160 6268 6880 7835 8256 9402 10320 12536 13760 15670 18804 20640 23505 25072 31340 37608 41280 47010 50144 62680 67381 75216 94020 100288 125360 134762 150432 188040 202143 250720 269524 300864 336905 376080 404286 501440 539048 673810 752160 808572 1010715 1078096 1347620 1504320 1617144 2021430 2156192 2695240 3234288 4042860 4312384 5390480 6468576 8085720 10780960 12937152 16171440 21561920 32342880 64685760