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6230016 = 21232132
BaseRepresentation
bin10111110001000000000000
3102201111222100
4113301000000
53043330031
6341310400
7103645212
oct27610000
912644870
106230016
113575781
122105400
1313a1900
14b825b2
15830de6
hex5f1000

6230016 has 117 divisors (see below), whose sum is σ = 19486389. Its totient is φ = 1916928.

The previous prime is 6229957. The next prime is 6230017. The reversal of 6230016 is 6100326.

It is a happy number.

The square root of 6230016 is 2496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 5308416 = 960^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6230017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 479226 + ... + 479238.

Almost surely, 26230016 is an apocalyptic number.

6230016 is the 2496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6230016

6230016 is an abundant number, since it is smaller than the sum of its proper divisors (13256373).

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

6230016 is a wasteful number, since it uses less digits than its factorization.

6230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The cubic root of 6230016 is about 184.0050408197.

The spelling of 6230016 in words is "six million, two hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 256 288 312 338 384 416 468 507 512 576 624 676 768 832 936 1014 1024 1152 1248 1352 1521 1536 1664 1872 2028 2048 2304 2496 2704 3042 3072 3328 3744 4056 4096 4608 4992 5408 6084 6144 6656 7488 8112 9216 9984 10816 12168 12288 13312 14976 16224 18432 19968 21632 24336 26624 29952 32448 36864 39936 43264 48672 53248 59904 64896 79872 86528 97344 119808 129792 159744 173056 194688 239616 259584 346112 389376 479232 519168 692224 778752 1038336 1557504 2076672 3115008 6230016