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13187988 = 22331117653
BaseRepresentation
bin110010010011…
…101110010100
3220211000112000
4302103232110
511334003423
61150355300
7220044642
oct62235624
926730460
1013187988
117498370
1244bbb30
132969958
141a74192
151257843
hexc93b94

13187988 has 96 divisors (see below), whose sum is σ = 39553920. Its totient is φ = 3755520.

The previous prime is 13187987. The next prime is 13188001. The reversal of 13187988 is 88978131.

13187988 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13187981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19870 + ... + 20522.

It is an arithmetic number, because the mean of its divisors is an integer number (412020).

Almost surely, 213187988 is an apocalyptic number.

13187988 is a gapful number since it is divisible by the number (18) 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 13187988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776960).

13187988 is an abundant number, since it is smaller than the sum of its proper divisors (26365932).

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

13187988 is a wasteful number, since it uses less digits than its factorization.

13187988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 13187988 is about 3631.5269515729. The cubic root of 13187988 is about 236.2614406150.

The spelling of 13187988 in words is "thirteen million, one hundred eighty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 653 748 918 1122 1188 1306 1683 1836 1959 2244 2612 3366 3918 5049 5877 6732 7183 7836 10098 11101 11754 14366 17631 20196 21549 22202 23508 28732 33303 35262 43098 44404 64647 66606 70524 86196 99909 122111 129294 133212 193941 199818 244222 258588 299727 366333 387882 399636 488444 599454 732666 775764 1098999 1198908 1465332 2197998 3296997 4395996 6593994 13187988