Search a number
-
+
6125857920 = 2732571322931
BaseRepresentation
bin1011011010010000…
…10010110010000000
3120210220212211021200
411231020102302000
5100021204423140
62451510221200
7304542635040
oct55510226200
916726784250
106125857920
1126639837a6
12122b654800
13768194100
14421811720
1525cbe9030
hex16d212c80

6125857920 has 1152 divisors, whose sum is σ = 27954201600. Its totient is φ = 1207664640.

The previous prime is 6125857909. The next prime is 6125857921. The reversal of 6125857920 is 297585216.

6125857920 is a `hidden beast` number, since 6 + 1 + 2 + 58 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×61258579202 = 75052270512053452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6125857921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197608305 + ... + 197608335.

It is an arithmetic number, because the mean of its divisors is an integer number (24265800).

Almost surely, 26125857920 is an apocalyptic number.

6125857920 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 6125857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977100800).

6125857920 is an abundant number, since it is smaller than the sum of its proper divisors (21828343680).

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

6125857920 is a wasteful number, since it uses less digits than its factorization.

6125857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 6125857920 is about 78267.8600704018. The cubic root of 6125857920 is about 1829.7382766439.

The spelling of 6125857920 in words is "six billion, one hundred twenty-five million, eight hundred fifty-seven thousand, nine hundred twenty".