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10527672 = 2331923087
BaseRepresentation
bin101000001010…
…001110111000
3201210212020210
4220022032320
510143341142
61013351120
7155324631
oct50121670
921725223
1010527672
115a40661
1236384a0
132247abc
141580888
15dce49c
hexa0a3b8

10527672 has 32 divisors (see below), whose sum is σ = 27705600. Its totient is φ = 3324384.

The previous prime is 10527617. The next prime is 10527679. The reversal of 10527672 is 27672501.

It is a super-2 number, since 2×105276722 = 221663755479168, which contains 22 as substring.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527679) 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, 11088 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (865800).

Almost surely, 210527672 is an apocalyptic number.

10527672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10527672 is an abundant number, since it is smaller than the sum of its proper divisors (17177928).

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

10527672 is a wasteful number, since it uses less digits than its factorization.

10527672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23115 (or 23111 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10527672 is about 3244.6374219626. The cubic root of 10527672 is about 219.1681534177.

The spelling of 10527672 in words is "ten million, five hundred twenty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 23087 46174 69261 92348 138522 184696 277044 438653 554088 877306 1315959 1754612 2631918 3509224 5263836 10527672