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13561632 = 253272312
BaseRepresentation
bin110011101110…
…111100100000
3221112000001200
4303232330200
511432433012
61202401200
7223162200
oct63567440
927460050
1013561632
117723067
124660200
132a6aa46
141b30400
1512cd3dc
hexceef20

13561632 has 162 divisors, whose sum is σ = 46356219. Its totient is φ = 3749760.

The previous prime is 13561621. The next prime is 13561657. The reversal of 13561632 is 23616531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13561632 is a `hidden beast` number, since 13 + 5 + 616 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6780816 + 6780816 = 2604^2 + 2604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2604.

It is a junction number, because it is equal to n+sod(n) for n = 13561596 and 13561605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 437457 + ... + 437487.

Almost surely, 213561632 is an apocalyptic number.

13561632 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 13561632

13561632 is an abundant number, since it is smaller than the sum of its proper divisors (32794587).

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

13561632 is a wasteful number, since it uses less digits than its factorization.

13561632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 43 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13561632 is about 3682.6121164195. The cubic root of 13561632 is about 238.4719585190.

The spelling of 13561632 in words is "thirteen million, five hundred sixty-one thousand, six hundred thirty-two".