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13675760 = 245724421
BaseRepresentation
bin110100001010…
…110011110000
3221201210121122
4310022303300
512000111020
61205041412
7224146010
oct64126360
927653548
1013675760
1177a088a
1246b6268
132aaa987
141b5dc40
151302125
hexd0acf0

13675760 has 40 divisors (see below), whose sum is σ = 36339936. Its totient is φ = 4688640.

The previous prime is 13675759. The next prime is 13675771. The reversal of 13675760 is 6757631.

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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13675760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11651 + ... + 12770.

Almost surely, 213675760 is an apocalyptic number.

13675760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13675760 is an abundant number, since it is smaller than the sum of its proper divisors (22664176).

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

13675760 is a wasteful number, since it uses less digits than its factorization.

13675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24441 (or 24435 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 13675760 is about 3698.0751750066. The cubic root of 13675760 is about 239.1390448068.

The spelling of 13675760 in words is "thirteen million, six hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 24421 48842 97684 122105 170947 195368 244210 341894 390736 488420 683788 854735 976840 1367576 1709470 1953680 2735152 3418940 6837880 13675760