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13561641 = 334311681
BaseRepresentation
bin110011101110…
…111100101001
3221112000002000
4303232330221
511432433031
61202401213
7223162212
oct63567451
927460060
1013561641
117723075
124660209
132a6aa52
141b30409
1512cd3e6
hexceef29

13561641 has 16 divisors (see below), whose sum is σ = 20560320. Its totient is φ = 8830080.

The previous prime is 13561621. The next prime is 13561657. The reversal of 13561641 is 14616531.

13561641 is a `hidden beast` number, since 1 + 3 + 5 + 616 + 41 = 666.

It is not a de Polignac number, because 13561641 - 211 = 13559593 is a prime.

It is a super-2 number, since 2×135616412 = 367836213225762, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13561621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4680 + ... + 7001.

It is an arithmetic number, because the mean of its divisors is an integer number (1285020).

Almost surely, 213561641 is an apocalyptic number.

It is an amenable number.

13561641 is a deficient number, since it is larger than the sum of its proper divisors (6998679).

13561641 is a wasteful number, since it uses less digits than its factorization.

13561641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11727 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 13561641 is about 3682.6133383781. The cubic root of 13561641 is about 238.4720112719.

It can be divided in two parts, 135 and 61641, that added together give a triangular number (61776 = T351).

The spelling of 13561641 in words is "thirteen million, five hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 9 27 43 129 387 1161 11681 35043 105129 315387 502283 1506849 4520547 13561641