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64000640 = 275119091
BaseRepresentation
bin1111010000100…
…1001010000000
311110102120101002
43310021022000
5112341010030
610203431132
71404665534
oct364111200
9143376332
1064000640
11331436a0
12195254a8
131034ac02
1486ddbc4
155943245
hex3d09280

64000640 has 64 divisors (see below), whose sum is σ = 166929120. Its totient is φ = 23270400.

The previous prime is 64000637. The next prime is 64000649. The reversal of 64000640 is 4600046.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (64000649) 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, 2495 + ... + 11585.

Almost surely, 264000640 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 64000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83464560).

64000640 is an abundant number, since it is smaller than the sum of its proper divisors (102928480).

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

64000640 is a wasteful number, since it uses less digits than its factorization.

64000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 64000640 is about 8000.0399999000. The cubic root of 64000640 is about 400.0013333289.

Adding to 64000640 its reverse (4600046), we get a palindrome (68600686).

It can be divided in two parts, 640006 and 40, that added together give a palindrome (640046).

The spelling of 64000640 in words is "sixty-four million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 9091 18182 36364 45455 72728 90910 100001 145456 181820 200002 290912 363640 400004 500005 581824 727280 800008 1000010 1163648 1454560 1600016 2000020 2909120 3200032 4000040 5818240 6400064 8000080 12800128 16000160 32000320 64000640