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230763060 = 223351153733
BaseRepresentation
bin11011100000100…
…10101000110100
3121002012222102000
431300102220310
5433033404220
634522015300
75501311413
oct1560225064
9532188360
10230763060
11109294780
1265347530
1338a686b8
142290d47a
15153d4390
hexdc12a34

230763060 has 192 divisors, whose sum is σ = 799061760. Its totient is φ = 54812160.

The previous prime is 230763059. The next prime is 230763073. The reversal of 230763060 is 60367032.

230763060 is a `hidden beast` number, since 23 + 0 + 7 + 630 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314454 + ... + 315186.

It is an arithmetic number, because the mean of its divisors is an integer number (4161780).

Almost surely, 2230763060 is an apocalyptic number.

230763060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230763060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399530880).

230763060 is an abundant number, since it is smaller than the sum of its proper divisors (568298700).

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

230763060 is a wasteful number, since it uses less digits than its factorization.

230763060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 230763060 is about 15190.8874000172. The cubic root of 230763060 is about 613.3693865333.

The spelling of 230763060 in words is "two hundred thirty million, seven hundred sixty-three thousand, sixty".