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13503631 = 313761193
BaseRepresentation
bin110011100000…
…110010001111
3221102001111111
4303200302033
511424104011
61201232451
7222531121
oct63406217
927361444
1013503631
117693529
124632727
132a4a51b
141b17211
1512bb121
hexce0c8f

13503631 has 16 divisors (see below), whose sum is σ = 14626048. Its totient is φ = 12441600.

The previous prime is 13503629. The next prime is 13503641. The reversal of 13503631 is 13630531.

13503631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 11-Lehmer number, since φ(13503631) divides (13503631-1)11.

It is a cyclic number.

It is not a de Polignac number, because 13503631 - 21 = 13503629 is a prime.

It is a super-2 number, since 2×135036312 = 364696100368322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503601) 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, 69871 + ... + 70063.

It is an arithmetic number, because the mean of its divisors is an integer number (914128).

Almost surely, 213503631 is an apocalyptic number.

13503631 is a deficient number, since it is larger than the sum of its proper divisors (1122417).

13503631 is a wasteful number, since it uses less digits than its factorization.

13503631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 13503631 is about 3674.7286974687. The cubic root of 13503631 is about 238.1315034861.

It can be divided in two parts, 135036 and 31, that multiplied together give a square (4186116 = 20462).

The spelling of 13503631 in words is "thirteen million, five hundred three thousand, six hundred thirty-one".

Divisors: 1 31 37 61 193 1147 1891 2257 5983 7141 11773 69967 221371 364963 435601 13503631