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6130944 = 2833887
BaseRepresentation
bin10111011000110100000000
3102112111002000
4113120310000
53032142234
6335224000
7103053321
oct27306400
912474060
106130944
1135082a6
122078000
1313687a1
14b58448
15811899
hex5d8d00

6130944 has 72 divisors (see below), whose sum is σ = 18150720. Its totient is φ = 2041344.

The previous prime is 6130907. The next prime is 6130951. The reversal of 6130944 is 4490316.

6130944 is a `hidden beast` number, since 613 + 0 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×61309442 = 75176948662272, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 6469 + ... + 7355.

Almost surely, 26130944 is an apocalyptic number.

6130944 is a gapful number since it is divisible by the number (64) 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 6130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075360).

6130944 is an abundant number, since it is smaller than the sum of its proper divisors (12019776).

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

6130944 is an equidigital number, since it uses as much as digits as its factorization.

6130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6130944 is about 2476.0743122936. The cubic root of 6130944 is about 183.0244525240.

The spelling of 6130944 in words is "six million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 887 1152 1728 1774 2304 2661 3456 3548 5322 6912 7096 7983 10644 14192 15966 21288 23949 28384 31932 42576 47898 56768 63864 85152 95796 113536 127728 170304 191592 227072 255456 340608 383184 510912 681216 766368 1021824 1532736 2043648 3065472 6130944