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645056960 = 2653176359
BaseRepresentation
bin100110011100101…
…100100111000000
31122221210021210112
4212130230213000
52310113310320
6144001450452
721661615352
oct4634544700
91587707715
10645056960
11301132929
12160040a28
13a3843112
14619550d2
153b96cec5
hex2672c9c0

645056960 has 56 divisors (see below), whose sum is σ = 1541129760. Its totient is φ = 257168384.

The previous prime is 645056953. The next prime is 645056963. The reversal of 645056960 is 69650546.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645056963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98261 + ... + 104619.

Almost surely, 2645056960 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 645056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770564880).

645056960 is an abundant number, since it is smaller than the sum of its proper divisors (896072800).

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

645056960 is a wasteful number, since it uses less digits than its factorization.

645056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 645056960 is about 25397.9715725489. The cubic root of 645056960 is about 864.0376926857.

The spelling of 645056960 in words is "six hundred forty-five million, fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 317 320 634 1268 1585 2536 3170 5072 6340 6359 10144 12680 12718 20288 25360 25436 31795 50720 50872 63590 101440 101744 127180 203488 254360 406976 508720 1017440 2015803 2034880 4031606 8063212 10079015 16126424 20158030 32252848 40316060 64505696 80632120 129011392 161264240 322528480 645056960