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645319640 = 235715115263
BaseRepresentation
bin100110011101101…
…100101111011000
31122222021122010102
4212131230233120
52310200212030
6144011234532
721664061240
oct4635545730
91588248112
10645319640
113012a2219
12160148a48
13a3905854
14619c2b20
153b9c0c45
hex2676cbd8

645319640 has 64 divisors (see below), whose sum is σ = 1670492160. Its totient is φ = 219772800.

The previous prime is 645319559. The next prime is 645319663. The reversal of 645319640 is 46913546.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 645319594 and 645319603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34649 + ... + 49911.

It is an arithmetic number, because the mean of its divisors is an integer number (26101440).

Almost surely, 2645319640 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 645319640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835246080).

645319640 is an abundant number, since it is smaller than the sum of its proper divisors (1025172520).

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

645319640 is a wasteful number, since it uses less digits than its factorization.

645319640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 645319640 is about 25403.1423253109. The cubic root of 645319640 is about 864.1549612030.

The spelling of 645319640 in words is "six hundred forty-five million, three hundred nineteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5285 6040 8456 10570 15263 21140 30526 42280 61052 76315 106841 122104 152630 213682 305260 427364 534205 610520 854728 1068410 2136820 2304713 4273640 4609426 9218852 11523565 16132991 18437704 23047130 32265982 46094260 64531964 80664955 92188520 129063928 161329910 322659820 645319640