Search a number
-
+
6256100 = 225273857
BaseRepresentation
bin10111110111010111100100
3102202211202102
4113313113210
53100143400
6342031232
7104114234
oct27672744
912684672
106256100
113593334
122118518
1313b0746
14b8bcc4
158389d5
hex5f75e4

6256100 has 36 divisors (see below), whose sum is σ = 13777764. Its totient is φ = 2465280.

The previous prime is 6256093. The next prime is 6256109. The reversal of 6256100 is 16526.

It can be written as a sum of positive squares in 6 ways, for example, as 135424 + 6120676 = 368^2 + 2474^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6256109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6872 + ... + 7728.

Almost surely, 26256100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888882).

6256100 is an abundant number, since it is smaller than the sum of its proper divisors (7521664).

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

6256100 is a wasteful number, since it uses less digits than its factorization.

6256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 6256100 is about 2501.2197024652. The cubic root of 6256100 is about 184.2614823587.

The spelling of 6256100 in words is "six million, two hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 857 1460 1714 1825 3428 3650 4285 7300 8570 17140 21425 42850 62561 85700 125122 250244 312805 625610 1251220 1564025 3128050 6256100