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6130900 = 2252371657
BaseRepresentation
bin10111011000110011010100
3102112111000101
4113120303110
53032142100
6335223444
7103053226
oct27306324
912474011
106130900
113508266
122077b84
131368769
14b58416
1581186a
hex5d8cd4

6130900 has 36 divisors (see below), whose sum is σ = 13671868. Its totient is φ = 2384640.

The previous prime is 6130849. The next prime is 6130907. The reversal of 6130900 is 90316.

It can be written as a sum of positive squares in 6 ways, for example, as 324 + 6130576 = 18^2 + 2476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6130907) 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, 2872 + ... + 4528.

Almost surely, 26130900 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 6130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835934).

6130900 is an abundant number, since it is smaller than the sum of its proper divisors (7540968).

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

6130900 is a wasteful number, since it uses less digits than its factorization.

6130900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 6130900 is about 2476.0654272454. The cubic root of 6130900 is about 183.0240146852.

The spelling of 6130900 in words is "six million, one hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1657 1850 3314 3700 6628 8285 16570 33140 41425 61309 82850 122618 165700 245236 306545 613090 1226180 1532725 3065450 6130900