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12300930 = 2335291571
BaseRepresentation
bin101110111011…
…001010000010
3212010221201000
4232323022002
511122112210
61115352430
7206361525
oct56731202
925127630
1012300930
116a41964
124152716
132718c75
1418c2bbc
15112eac0
hexbbb282

12300930 has 64 divisors (see below), whose sum is σ = 33955200. Its totient is φ = 3165120.

The previous prime is 12300919. The next prime is 12300931. The reversal of 12300930 is 3900321.

12300930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12300931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (530550).

Almost surely, 212300930 is an apocalyptic number.

12300930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977600).

12300930 is an abundant number, since it is smaller than the sum of its proper divisors (21654270).

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

12300930 is a wasteful number, since it uses less digits than its factorization.

12300930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 12300930 is about 3507.2681676769. The cubic root of 12300930 is about 230.8408416220.

The spelling of 12300930 in words is "twelve million, three hundred thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 1571 2610 3142 3915 4713 7830 7855 9426 14139 15710 23565 28278 42417 45559 47130 70695 84834 91118 136677 141390 212085 227795 273354 410031 424170 455590 683385 820062 1230093 1366770 2050155 2460186 4100310 6150465 12300930