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5900466 = 2311132232
BaseRepresentation
bin10110100000100010110010
3102002202220210
4112200202302
53002303331
6330244550
7101103345
oct26404262
912082823
105900466
113370120
121b86756
1312b7900
14ad845c
157b8446
hex5a08b2

5900466 has 72 divisors (see below), whose sum is σ = 14572656. Its totient is φ = 1578720.

The previous prime is 5900459. The next prime is 5900467. The reversal of 5900466 is 6640095.

It is not an unprimeable number, because it can be changed into a prime (5900467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256531 + ... + 256553.

It is an arithmetic number, because the mean of its divisors is an integer number (202398).

Almost surely, 25900466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5900466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286328).

5900466 is an abundant number, since it is smaller than the sum of its proper divisors (8672190).

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

5900466 is a wasteful number, since it uses less digits than its factorization.

5900466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5900466 is about 2429.0874829862. The cubic root of 5900466 is about 180.7016441373.

The spelling of 5900466 in words is "five million, nine hundred thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 169 253 286 299 338 429 506 507 529 598 759 858 897 1014 1058 1518 1587 1794 1859 3174 3289 3718 3887 5577 5819 6578 6877 7774 9867 11154 11638 11661 13754 17457 19734 20631 23322 34914 41262 42757 75647 85514 89401 128271 151294 178802 226941 256542 268203 453882 536406 983411 1966822 2950233 5900466