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10529472 = 263173317
BaseRepresentation
bin101000001010…
…101011000000
3201210221201110
4220022223000
510143420342
61013403320
7155333112
oct50125300
921727643
1010529472
115a41a48
123639540
132248875
1415813b2
15dcec9c
hexa0aac0

10529472 has 56 divisors (see below), whose sum is σ = 28108656. Its totient is φ = 3478528.

The previous prime is 10529471. The next prime is 10529473. The reversal of 10529472 is 27492501.

It is an interprime number because it is at equal distance from previous prime (10529471) and next prime (10529473).

It is a super-2 number, since 2×105294722 = 221739561197568, 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 (10529471) 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, 33058 + ... + 33374.

Almost surely, 210529472 is an apocalyptic number.

10529472 is a gapful number since it is divisible by the number (12) 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 10529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054328).

10529472 is an abundant number, since it is smaller than the sum of its proper divisors (17579184).

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

10529472 is a wasteful number, since it uses less digits than its factorization.

10529472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10529472 is about 3244.9147908689. The cubic root of 10529472 is about 219.1806436813.

The spelling of 10529472 in words is "ten million, five hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 317 346 519 634 692 951 1038 1268 1384 1902 2076 2536 2768 3804 4152 5072 5536 7608 8304 10144 11072 15216 16608 20288 30432 33216 54841 60864 109682 164523 219364 329046 438728 658092 877456 1316184 1754912 2632368 3509824 5264736 10529472