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13990680 = 23325113533
BaseRepresentation
bin110101010111…
…101100011000
3222022210121100
4311113230120
512040200210
61215511400
7226630104
oct65275430
928283540
1013990680
117996450
124828560
132b8b112
141c02904
1513655c0
hexd57b18

13990680 has 96 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 3390720.

The previous prime is 13990667. The next prime is 13990687. The reversal of 13990680 is 8609931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13990687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2194 + ... + 5726.

Almost surely, 213990680 is an apocalyptic number.

13990680 is a gapful number since it is divisible by the number (10) 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 13990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

13990680 is an abundant number, since it is smaller than the sum of its proper divisors (35626680).

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

13990680 is a wasteful number, since it uses less digits than its factorization.

13990680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13990680 is about 3740.4117420412. The cubic root of 13990680 is about 240.9607323406.

The spelling of 13990680 in words is "thirteen million, nine hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3533 3960 7066 10599 14132 17665 21198 28264 31797 35330 38863 42396 52995 63594 70660 77726 84792 105990 116589 127188 141320 155452 158985 194315 211980 233178 254376 310904 317970 349767 388630 423960 466356 582945 635940 699534 777260 932712 1165890 1271880 1399068 1554520 1748835 2331780 2798136 3497670 4663560 6995340 13990680