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645013840 = 24523397883
BaseRepresentation
bin100110011100100…
…010000101010000
31122221201002122111
4212130202011100
52310110420330
6144000515104
721661345552
oct4634420520
91587632574
10645013840
11301103499
1216001ba94
13a38295c3
14619434d2
153b96032a
hex26722150

645013840 has 80 divisors (see below), whose sum is σ = 1570578048. Its totient is φ = 245887488.

The previous prime is 645013829. The next prime is 645013841. The reversal of 645013840 is 48310546.

It is a happy number.

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 (645013841) 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 15 ways as a sum of consecutive naturals, for example, 730039 + ... + 730921.

Almost surely, 2645013840 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 645013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785289024).

645013840 is an abundant number, since it is smaller than the sum of its proper divisors (925564208).

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

645013840 is a wasteful number, since it uses less digits than its factorization.

645013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 645013840 is about 25397.1226716729. The cubic root of 645013840 is about 864.0184395356.

The spelling of 645013840 in words is "six hundred forty-five million, thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 397 460 794 883 920 1588 1766 1840 1985 3176 3532 3970 4415 6352 7064 7940 8830 9131 14128 15880 17660 18262 20309 31760 35320 36524 40618 45655 70640 73048 81236 91310 101545 146096 162472 182620 203090 324944 350551 365240 406180 701102 730480 812360 1402204 1624720 1752755 2804408 3505510 5608816 7011020 8062673 14022040 16125346 28044080 32250692 40313365 64501384 80626730 129002768 161253460 322506920 645013840