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13088790 = 23451113113
BaseRepresentation
bin110001111011…
…100000010110
3220121222110000
4301323200112
511322320130
61144312130
7216152511
oct61734026
926558400
1013088790
11742a890
124472646
132933760
141a49d78
151238260
hexc7b816

13088790 has 160 divisors (see below), whose sum is σ = 41713056. Its totient is φ = 2903040.

The previous prime is 13088783. The next prime is 13088791. The reversal of 13088790 is 9788031.

13088790 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 (13088791) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115774 + ... + 115886.

Almost surely, 213088790 is an apocalyptic number.

13088790 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 13088790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856528).

13088790 is an abundant number, since it is smaller than the sum of its proper divisors (28624266).

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

13088790 is a wasteful number, since it uses less digits than its factorization.

13088790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 13088790 is about 3617.8432801878. The cubic root of 13088790 is about 235.6675751598.

The spelling of 13088790 in words is "thirteen million, eighty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 81 90 99 110 113 117 130 135 143 162 165 195 198 226 234 270 286 297 330 339 351 390 405 429 495 565 585 594 678 702 715 810 858 891 990 1017 1053 1130 1170 1243 1287 1430 1469 1485 1695 1755 1782 2034 2106 2145 2486 2574 2938 2970 3051 3390 3510 3729 3861 4290 4407 4455 5085 5265 6102 6215 6435 7345 7458 7722 8814 8910 9153 10170 10530 11187 11583 12430 12870 13221 14690 15255 16159 18306 18645 19305 22035 22374 23166 26442 30510 32318 33561 37290 38610 39663 44070 45765 48477 55935 57915 66105 67122 79326 80795 91530 96954 100683 111870 115830 118989 132210 145431 161590 167805 198315 201366 237978 242385 290862 335610 396630 436293 484770 503415 594945 727155 872586 1006830 1189890 1308879 1454310 2181465 2617758 4362930 6544395 13088790