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10605790320 = 2435127347959
BaseRepresentation
bin10011110000010011…
…11000010001110000
31000101010122222012220
421320021320101300
5133210040242240
64512222521040
7523551505326
oct117011702160
930333588186
1010605790320
114552768274
12207ba36180
131000362798
147287b5d16
154211715d0
hex278278470

10605790320 has 80 divisors (see below), whose sum is σ = 33136926720. Its totient is φ = 2805933312.

The previous prime is 10605790319. The next prime is 10605790331. The reversal of 10605790320 is 2309750601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106057903202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143500 + ... + 204459.

It is an arithmetic number, because the mean of its divisors is an integer number (414211584).

Almost surely, 210605790320 is an apocalyptic number.

10605790320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605790320 is an abundant number, since it is smaller than the sum of its proper divisors (22531136400).

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

10605790320 is a wasteful number, since it uses less digits than its factorization.

10605790320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348102 (or 348096 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 10605790320 in words is "ten billion, six hundred five million, seven hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 347959 695918 1043877 1391836 1739795 2087754 2783672 3479590 4175508 5219385 5567344 6959180 8351016 10438770 13918360 16702032 20877540 27836720 41755080 44190793 83510160 88381586 132572379 176763172 220953965 265144758 353526344 441907930 530289516 662861895 707052688 883815860 1060579032 1325723790 1767631720 2121158064 2651447580 3535263440 5302895160 10605790320