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10585434 = 234737537
BaseRepresentation
bin101000011000…
…010101011010
3201220210111010
4220120111122
510202213214
61014514350
7155655216
oct50302532
921823433
1010585434
115a7aaa2
1236659b6
132268192
141597946
15de1659
hexa1855a

10585434 has 16 divisors (see below), whose sum is σ = 21621888. Its totient is φ = 3453312.

The previous prime is 10585433. The next prime is 10585453. The reversal of 10585434 is 43458501.

It is a super-2 number, since 2×105854342 = 224102825936712, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10585433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18487 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (1351368).

Almost surely, 210585434 is an apocalyptic number.

10585434 is an abundant number, since it is smaller than the sum of its proper divisors (11036454).

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

10585434 is a wasteful number, since it uses less digits than its factorization.

10585434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37589.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 10585434 is about 3253.5263945448. The cubic root of 10585434 is about 219.5682579593.

The spelling of 10585434 in words is "ten million, five hundred eighty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 47 94 141 282 37537 75074 112611 225222 1764239 3528478 5292717 10585434