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10830320 = 245331409
BaseRepresentation
bin101001010100…
…000111110000
3202101020101222
4221110013300
510233032240
61024044212
7161025164
oct51240760
922336358
1010830320
116127a86
123763668
132322797
14161cca4
15e3deb5
hexa541f0

10830320 has 40 divisors (see below), whose sum is σ = 25318320. Its totient is φ = 4308480.

The previous prime is 10830301. The next prime is 10830359. The reversal of 10830320 is 2303801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26276 + ... + 26684.

It is an arithmetic number, because the mean of its divisors is an integer number (632958).

Almost surely, 210830320 is an apocalyptic number.

10830320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10830320 is an abundant number, since it is smaller than the sum of its proper divisors (14488000).

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

10830320 is a wasteful number, since it uses less digits than its factorization.

10830320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10830320 is about 3290.9451529918. The cubic root of 10830320 is about 221.2485481939.

The spelling of 10830320 in words is "ten million, eight hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 331 409 662 818 1324 1636 1655 2045 2648 3272 3310 4090 5296 6544 6620 8180 13240 16360 26480 32720 135379 270758 541516 676895 1083032 1353790 2166064 2707580 5415160 10830320