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64660480 = 210573173
BaseRepresentation
bin1111011010101…
…0010000000000
311111200002111121
43312222100000
5113023113410
610225522024
71413414343
oct366522000
9144602447
1064660480
1133554415
12197a3314
131051c351
14883245a
155a239da
hex3daa400

64660480 has 88 divisors (see below), whose sum is σ = 158143032. Its totient is φ = 25362432.

The previous prime is 64660457. The next prime is 64660489. The reversal of 64660480 is 8406646.

It can be written as a sum of positive squares in 4 ways, for example, as 20358144 + 44302336 = 4512^2 + 6656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64660489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373674 + ... + 373846.

Almost surely, 264660480 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 64660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79071516).

64660480 is an abundant number, since it is smaller than the sum of its proper divisors (93482552).

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

64660480 is a wasteful number, since it uses less digits than its factorization.

64660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 64660480 is about 8041.1740436332. The cubic root of 64660480 is about 401.3712935131.

The spelling of 64660480 in words is "sixty-four million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 173 256 292 320 346 365 512 584 640 692 730 865 1024 1168 1280 1384 1460 1730 2336 2560 2768 2920 3460 4672 5120 5536 5840 6920 9344 11072 11680 12629 13840 18688 22144 23360 25258 27680 37376 44288 46720 50516 55360 63145 74752 88576 93440 101032 110720 126290 177152 186880 202064 221440 252580 373760 404128 442880 505160 808256 885760 1010320 1616512 2020640 3233024 4041280 6466048 8082560 12932096 16165120 32330240 64660480