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6230976 = 263172383
BaseRepresentation
bin10111110001001111000000
3102201120021220
4113301033000
53043342401
6341315040
7103651053
oct27611700
912646256
106230976
113576474
122105a80
1313a218b
14b82a9a
15831336
hex5f13c0

6230976 has 112 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 1847296.

The previous prime is 6230971. The next prime is 6230977. The reversal of 6230976 is 6790326.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6230971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75031 + ... + 75113.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 26230976 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 6230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

6230976 is an abundant number, since it is smaller than the sum of its proper divisors (12203328).

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

6230976 is a wasteful number, since it uses less digits than its factorization.

6230976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 6230976 is about 2496.1923002846. The cubic root of 6230976 is about 184.0144916123.

The spelling of 6230976 in words is "six million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 83 92 96 102 136 138 166 184 192 204 249 272 276 332 368 391 408 498 544 552 664 736 782 816 996 1088 1104 1173 1328 1411 1472 1564 1632 1909 1992 2208 2346 2656 2822 3128 3264 3818 3984 4233 4416 4692 5312 5644 5727 6256 7636 7968 8466 9384 11288 11454 12512 15272 15936 16932 18768 22576 22908 25024 30544 32453 33864 37536 45152 45816 61088 64906 67728 75072 90304 91632 97359 122176 129812 135456 183264 194718 259624 270912 366528 389436 519248 778872 1038496 1557744 2076992 3115488 6230976