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64563240 = 23357101761
BaseRepresentation
bin1111011001001…
…0100000101000
311111111011010010
43312102200220
5113012010430
610223451520
71412531010
oct366224050
9144434103
1064563240
1133498355
1219756ba0
13104b7001
148808c40
155a04cb0
hex3d92828

64563240 has 128 divisors (see below), whose sum is σ = 223845120. Its totient is φ = 14592000.

The previous prime is 64563227. The next prime is 64563241. The reversal of 64563240 is 4236546.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64563198 and 64563207.

It is not an unprimeable number, because it can be changed into a prime (64563241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84460 + ... + 85220.

It is an arithmetic number, because the mean of its divisors is an integer number (1748790).

Almost surely, 264563240 is an apocalyptic number.

64563240 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 64563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111922560).

64563240 is an abundant number, since it is smaller than the sum of its proper divisors (159281880).

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

64563240 is a wasteful number, since it uses less digits than its factorization.

64563240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 64563240 is about 8035.1253879451. The cubic root of 64563240 is about 401.1699911319.

Adding to 64563240 its reverse (4236546), we get a palindrome (68799786).

The spelling of 64563240 in words is "sixty-four million, five hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 761 808 840 1010 1212 1414 1515 1522 2020 2121 2283 2424 2828 3030 3044 3535 3805 4040 4242 4566 5327 5656 6060 6088 7070 7610 8484 9132 10605 10654 11415 12120 14140 15220 15981 16968 18264 21210 21308 22830 26635 28280 30440 31962 42420 42616 45660 53270 63924 76861 79905 84840 91320 106540 127848 153722 159810 213080 230583 307444 319620 384305 461166 538027 614888 639240 768610 922332 1076054 1152915 1537220 1614081 1844664 2152108 2305830 2690135 3074440 3228162 4304216 4611660 5380270 6456324 8070405 9223320 10760540 12912648 16140810 21521080 32281620 64563240