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645336090 = 232577271409
BaseRepresentation
bin100110011101110…
…000110000011010
31122222022110200200
4212131300300122
52310201223330
6144011443030
721664160220
oct4635606032
91588273620
10645336090
11301303613
12160156476
13a3910199
14619c8b10
153b9c5a60
hex26770c1a

645336090 has 96 divisors (see below), whose sum is σ = 1921570560. Its totient is φ = 147197952.

The previous prime is 645336067. The next prime is 645336113. The reversal of 645336090 is 90633546.

645336090 is a `hidden beast` number, since 6 + 45 + 3 + 3 + 609 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (645336067) and next prime (645336113).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457306 + ... + 458714.

It is an arithmetic number, because the mean of its divisors is an integer number (20016360).

Almost surely, 2645336090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645336090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960785280).

645336090 is an abundant number, since it is smaller than the sum of its proper divisors (1276234470).

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

645336090 is a wasteful number, since it uses less digits than its factorization.

645336090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 645336090 is about 25403.4661020893. The cubic root of 645336090 is about 864.1623039354.

The spelling of 645336090 in words is "six hundred forty-five million, three hundred thirty-six thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 727 1409 1454 2181 2818 3635 4227 4362 5089 6543 7045 7270 8454 9863 10178 10905 12681 13086 14090 15267 19726 21135 21810 25362 25445 29589 30534 32715 42270 45801 49315 50890 59178 63405 65430 76335 88767 91602 98630 126810 147945 152670 177534 229005 295890 443835 458010 887670 1024343 2048686 3073029 5121715 6146058 7170401 9219087 10243430 14340802 15365145 18438174 21511203 30730290 35852005 43022406 46095435 64533609 71704010 92190870 107556015 129067218 215112030 322668045 645336090