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13561040 = 245179947
BaseRepresentation
bin110011101110…
…110011010000
3221111222020202
4303232303100
511432423130
61202354332
7223160363
oct63566320
927458222
1013561040
117722679
12465b9a8
132a6a6ac
141b300da
1512cd145
hexceecd0

13561040 has 40 divisors (see below), whose sum is σ = 31739040. Its totient is φ = 5388416.

The previous prime is 13561027. The next prime is 13561049. The reversal of 13561040 is 4016531.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13561049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13847 + ... + 14793.

It is an arithmetic number, because the mean of its divisors is an integer number (793476).

Almost surely, 213561040 is an apocalyptic number.

13561040 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 13561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869520).

13561040 is an abundant number, since it is smaller than the sum of its proper divisors (18178000).

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

13561040 is a wasteful number, since it uses less digits than its factorization.

13561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13561040 is about 3682.5317378130. The cubic root of 13561040 is about 238.4684884978.

Adding to 13561040 its reverse (4016531), we get a palindrome (17577571).

The spelling of 13561040 in words is "thirteen million, five hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 947 1432 1790 1894 2864 3580 3788 4735 7160 7576 9470 14320 15152 18940 37880 75760 169513 339026 678052 847565 1356104 1695130 2712208 3390260 6780520 13561040