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6230960640 = 29345151199
BaseRepresentation
bin1011100110110010…
…01110101000000000
3121002020122121010000
411303121032220000
5100230111220030
62510143040000
7310260202002
oct56331165000
917066577100
106230960640
11270823aa53
12125a8a0000
13783ba3378
14431770372
1526705a860
hex17364ea00

6230960640 has 400 divisors, whose sum is σ = 22578019200. Its totient is φ = 1642291200.

The previous prime is 6230960633. The next prime is 6230960647. The reversal of 6230960640 is 460690326.

6230960640 is a `hidden beast` number, since 6 + 2 + 3 + 0 + 9 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6230960633) and next prime (6230960647).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6230960595 and 6230960604.

It is not an unprimeable number, because it can be changed into a prime (6230960647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31311261 + ... + 31311459.

It is an arithmetic number, because the mean of its divisors is an integer number (56445048).

Almost surely, 26230960640 is an apocalyptic number.

6230960640 is a gapful number since it is divisible by the number (60) 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 6230960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289009600).

6230960640 is an abundant number, since it is smaller than the sum of its proper divisors (16347058560).

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

6230960640 is a wasteful number, since it uses less digits than its factorization.

6230960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6230960640 is about 78936.4341733271. The cubic root of 6230960640 is about 1840.1434040721.

The spelling of 6230960640 in words is "six billion, two hundred thirty million, nine hundred sixty thousand, six hundred forty".