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13632705 = 34541821
BaseRepresentation
bin110100000000…
…010011000001
3221122121120000
4310000103001
511442221310
61204110213
7223606332
oct64002301
927577500
1013632705
1177714a9
124695369
132a941b8
141b4c289
1512e44c0
hexd004c1

13632705 has 40 divisors (see below), whose sum is σ = 25064424. Its totient is φ = 7084800.

The previous prime is 13632701. The next prime is 13632727. The reversal of 13632705 is 50723631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 13549761 = 288^2 + 3681^2 .

It is not a de Polignac number, because 13632705 - 22 = 13632701 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13632701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16195 + ... + 17015.

Almost surely, 213632705 is an apocalyptic number.

13632705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13632705 is a deficient number, since it is larger than the sum of its proper divisors (11431719).

13632705 is an equidigital number, since it uses as much as digits as its factorization.

13632705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13632705 is about 3692.2493144423. The cubic root of 13632705 is about 238.8878228024.

The spelling of 13632705 in words is "thirteen million, six hundred thirty-two thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 369 405 615 821 1107 1845 2463 3321 4105 5535 7389 12315 16605 22167 33661 36945 66501 100983 110835 168305 302949 332505 504915 908847 1514745 2726541 4544235 13632705