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64674640 = 2452961457
BaseRepresentation
bin1111011010110…
…1101101010000
311111200210221001
43312231231100
5113024042030
610230111344
71413503542
oct366555520
9144623831
1064674640
1133564018
12197ab554
1310525924
148837692
155a27cca
hex3dadb50

64674640 has 80 divisors (see below), whose sum is σ = 158449680. Its totient is φ = 24514560.

The previous prime is 64674637. The next prime is 64674667. The reversal of 64674640 is 4647646.

It can be written as a sum of positive squares in 8 ways, for example, as 1567504 + 63107136 = 1252^2 + 7944^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 64674640.

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, 141292 + ... + 141748.

It is an arithmetic number, because the mean of its divisors is an integer number (1980621).

Almost surely, 264674640 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 64674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79224840).

64674640 is an abundant number, since it is smaller than the sum of its proper divisors (93775040).

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

64674640 is a wasteful number, since it uses less digits than its factorization.

64674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 64674640 is about 8042.0544638792. The cubic root of 64674640 is about 401.4005901442.

The spelling of 64674640 in words is "sixty-four million, six hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 116 122 145 232 244 290 305 457 464 488 580 610 914 976 1160 1220 1769 1828 2285 2320 2440 3538 3656 4570 4880 7076 7312 8845 9140 13253 14152 17690 18280 26506 27877 28304 35380 36560 53012 55754 66265 70760 106024 111508 132530 139385 141520 212048 223016 265060 278770 446032 530120 557540 808433 1060240 1115080 1616866 2230160 3233732 4042165 6467464 8084330 12934928 16168660 32337320 64674640