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13640704 = 210711173
BaseRepresentation
bin110100000010…
…010000000000
3221200000112021
4310002100000
511443000304
61204211224
7223641550
oct64022000
927600467
1013640704
117777510
124699b14
132a97a2c
141b51160
1512e6a54
hexd02400

13640704 has 88 divisors (see below), whose sum is σ = 34193088. Its totient is φ = 5283840.

The previous prime is 13640699. The next prime is 13640723. The reversal of 13640704 is 40704631.

It is a tau number, because it is divible by the number of its divisors (88).

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78762 + ... + 78934.

Almost surely, 213640704 is an apocalyptic number.

13640704 is a gapful number since it is divisible by the number (14) 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 13640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096544).

13640704 is an abundant number, since it is smaller than the sum of its proper divisors (20552384).

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

13640704 is a wasteful number, since it uses less digits than its factorization.

13640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 13640704 is about 3693.3323706377. The cubic root of 13640704 is about 238.9345362043.

The spelling of 13640704 in words is "thirteen million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 173 176 224 256 308 346 352 448 512 616 692 704 896 1024 1211 1232 1384 1408 1792 1903 2422 2464 2768 2816 3584 3806 4844 4928 5536 5632 7168 7612 9688 9856 11072 11264 13321 15224 19376 19712 22144 26642 30448 38752 39424 44288 53284 60896 77504 78848 88576 106568 121792 155008 177152 213136 243584 310016 426272 487168 620032 852544 974336 1240064 1705088 1948672 3410176 6820352 13640704