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64089840 = 2435972753
BaseRepresentation
bin1111010001111…
…0111011110000
311110121002201210
43310132323300
5112401333330
610205400120
71405516563
oct364367360
9143532653
1064089840
11331a4711
1219569040
131037c6a9
1487244da
15595e8b0
hex3d1eef0

64089840 has 80 divisors (see below), whose sum is σ = 200799648. Its totient is φ = 16908288.

The previous prime is 64089829. The next prime is 64089841. The reversal of 64089840 is 4898046.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64089841) 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, 21904 + ... + 24656.

Almost surely, 264089840 is an apocalyptic number.

64089840 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 64089840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100399824).

64089840 is an abundant number, since it is smaller than the sum of its proper divisors (136709808).

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

64089840 is a wasteful number, since it uses less digits than its factorization.

64089840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 64089840 is about 8005.6130308678. The cubic root of 64089840 is about 400.1870791565.

The spelling of 64089840 in words is "sixty-four million, eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2753 2910 3880 4656 5506 5820 7760 8259 11012 11640 13765 16518 22024 23280 27530 33036 41295 44048 55060 66072 82590 110120 132144 165180 220240 267041 330360 534082 660720 801123 1068164 1335205 1602246 2136328 2670410 3204492 4005615 4272656 5340820 6408984 8011230 10681640 12817968 16022460 21363280 32044920 64089840