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230672120 = 2357823829
BaseRepresentation
bin11011011111111…
…00011011111000
3121002001100122212
431233330123320
5433023001440
634520034252
75500452320
oct1557743370
9532040585
10230672120
11109232418
1265302988
1338a361a3
14228c8280
15153b7465
hexdbfc6f8

230672120 has 32 divisors (see below), whose sum is σ = 593157600. Its totient is φ = 79087488.

The previous prime is 230672107. The next prime is 230672131. The reversal of 230672120 is 21276032.

230672120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411635 + ... + 412194.

It is an arithmetic number, because the mean of its divisors is an integer number (18536175).

Almost surely, 2230672120 is an apocalyptic number.

230672120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230672120 is an abundant number, since it is smaller than the sum of its proper divisors (362485480).

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

230672120 is a wasteful number, since it uses less digits than its factorization.

230672120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823847 (or 823843 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 230672120 is about 15187.8938632057. The cubic root of 230672120 is about 613.2888029527.

The spelling of 230672120 in words is "two hundred thirty million, six hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 823829 1647658 3295316 4119145 5766803 6590632 8238290 11533606 16476580 23067212 28834015 32953160 46134424 57668030 115336060 230672120