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13989360 = 2435711757
BaseRepresentation
bin110101010111…
…010111110000
3222022201210110
4311113113300
512040124420
61215501320
7226623210
oct65272760
928281713
1013989360
117995460
124827840
132b8a638
141c02240
151364ee0
hexd575f0

13989360 has 160 divisors (see below), whose sum is σ = 54139392. Its totient is φ = 2903040.

The previous prime is 13989341. The next prime is 13989361. The reversal of 13989360 is 6398931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13989361) 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, 18102 + ... + 18858.

Almost surely, 213989360 is an apocalyptic number.

13989360 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 13989360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27069696).

13989360 is an abundant number, since it is smaller than the sum of its proper divisors (40150032).

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

13989360 is a wasteful number, since it uses less digits than its factorization.

13989360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 13989360 is about 3740.2352867166. The cubic root of 13989360 is about 240.9531540059.

The spelling of 13989360 in words is "thirteen million, nine hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 757 770 840 880 924 1155 1232 1320 1514 1540 1680 1848 2271 2310 2640 3028 3080 3696 3785 4542 4620 5299 6056 6160 7570 8327 9084 9240 10598 11355 12112 15140 15897 16654 18168 18480 21196 22710 24981 26495 30280 31794 33308 36336 41635 42392 45420 49962 52990 58289 60560 63588 66616 79485 83270 84784 90840 99924 105980 116578 124905 127176 133232 158970 166540 174867 181680 199848 211960 233156 249810 254352 291445 317940 333080 349734 399696 423920 466312 499620 582890 635880 666160 699468 874335 932624 999240 1165780 1271760 1398936 1748670 1998480 2331560 2797872 3497340 4663120 6994680 13989360