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13917690 = 2335192713
BaseRepresentation
bin110101000101…
…110111111010
3222012002111000
4311011313322
512030331230
61214145430
7226204233
oct65056772
928162430
1013917690
117946626
1247b2276
132b63b27
141bc408a
15134db60
hexd45dfa

13917690 has 64 divisors (see below), whose sum is σ = 39081600. Its totient is φ = 3514752.

The previous prime is 13917637. The next prime is 13917703. The reversal of 13917690 is 9671931.

It is a super-2 number, since 2×139176902 = 387404189872200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3774 + ... + 6486.

It is an arithmetic number, because the mean of its divisors is an integer number (610650).

Almost surely, 213917690 is an apocalyptic number.

13917690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13917690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19540800).

13917690 is an abundant number, since it is smaller than the sum of its proper divisors (25163910).

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

13917690 is a wasteful number, since it uses less digits than its factorization.

13917690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 13917690 is about 3730.6420358968. The cubic root of 13917690 is about 240.5409672274.

The spelling of 13917690 in words is "thirteen million, nine hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 2713 5130 5426 8139 13565 16278 24417 27130 40695 48834 51547 73251 81390 103094 122085 146502 154641 244170 257735 309282 366255 463923 515470 732510 773205 927846 1391769 1546410 2319615 2783538 4639230 6958845 13917690