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10585428 = 2237235479
BaseRepresentation
bin101000011000…
…010101010100
3201220210110220
4220120111110
510202213203
61014514340
7155655210
oct50302524
921823426
1010585428
115a7aa97
1236659b0
132268189
141597940
15de1653
hexa18554

10585428 has 48 divisors (see below), whose sum is σ = 29460480. Its totient is φ = 2892384.

The previous prime is 10585427. The next prime is 10585433. The reversal of 10585428 is 82458501.

It is a super-2 number, since 2×105854282 = 224102571886368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808 + ... + 4671.

It is an arithmetic number, because the mean of its divisors is an integer number (613760).

Almost surely, 210585428 is an apocalyptic number.

It is an amenable number.

10585428 is an abundant number, since it is smaller than the sum of its proper divisors (18875052).

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

10585428 is a wasteful number, since it uses less digits than its factorization.

10585428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 10585428 is about 3253.5254724683. The cubic root of 10585428 is about 219.5682164743.

The spelling of 10585428 in words is "ten million, five hundred eighty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 5479 10958 16437 21916 32874 38353 65748 76706 115059 126017 153412 230118 252034 378051 460236 504068 756102 882119 1512204 1764238 2646357 3528476 5292714 10585428