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10529840 = 245433061
BaseRepresentation
bin101000001010…
…110000110000
3201210222020002
4220022300300
510143423330
61013405132
7155334146
oct50126060
921728202
1010529840
115a42252
1236397a8
132248a99
141581596
15dcee45
hexa0ac30

10529840 has 40 divisors (see below), whose sum is σ = 25059408. Its totient is φ = 4112640.

The previous prime is 10529839. The next prime is 10529843. The reversal of 10529840 is 4892501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105298402 = 221755060851200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10529843) 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, 1910 + ... + 4970.

Almost surely, 210529840 is an apocalyptic number.

10529840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10529840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529704).

10529840 is an abundant number, since it is smaller than the sum of its proper divisors (14529568).

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

10529840 is a wasteful number, since it uses less digits than its factorization.

10529840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10529840 is about 3244.9714944819. The cubic root of 10529840 is about 219.1831970710.

The spelling of 10529840 in words is "ten million, five hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3061 3440 6122 12244 15305 24488 30610 48976 61220 122440 131623 244880 263246 526492 658115 1052984 1316230 2105968 2632460 5264920 10529840