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6130368 = 263229367
BaseRepresentation
bin10111011000101011000000
3102112110021200
4113120223000
53032132433
6335221200
7103051536
oct27305300
912473250
106130368
113507922
122077800
13136844a
14b58156
15811613
hex5d8ac0

6130368 has 84 divisors (see below), whose sum is σ = 18227040. Its totient is φ = 1967616.

The previous prime is 6130337. The next prime is 6130373. The reversal of 6130368 is 8630316.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16521 + ... + 16887.

Almost surely, 26130368 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 6130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113520).

6130368 is an abundant number, since it is smaller than the sum of its proper divisors (12096672).

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

6130368 is a wasteful number, since it uses less digits than its factorization.

6130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

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

The square root of 6130368 is about 2475.9579964127. The cubic root of 6130368 is about 183.0187206505.

The spelling of 6130368 in words is "six million, one hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 367 464 522 576 696 734 928 1044 1101 1392 1468 1856 2088 2202 2784 2936 3303 4176 4404 5568 5872 6606 8352 8808 10643 11744 13212 16704 17616 21286 23488 26424 31929 35232 42572 52848 63858 70464 85144 95787 105696 127716 170288 191574 211392 255432 340576 383148 510864 681152 766296 1021728 1532592 2043456 3065184 6130368