Search a number
-
+
13993560 = 233457617
BaseRepresentation
bin110101011000…
…011001011000
3222022221120000
4311120121120
512040243220
61215533000
7226641360
oct65303130
928287500
1013993560
117998629
12482a160
132b8c519
141c039a0
151366390
hexd58658

13993560 has 160 divisors (see below), whose sum is σ = 53840160. Its totient is φ = 3193344.

The previous prime is 13993549. The next prime is 13993579. The reversal of 13993560 is 6539931.

13993560 is a `hidden beast` number, since 1 + 3 + 9 + 93 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22372 + ... + 22988.

It is an arithmetic number, because the mean of its divisors is an integer number (336501).

Almost surely, 213993560 is an apocalyptic number.

13993560 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 13993560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920080).

13993560 is an abundant number, since it is smaller than the sum of its proper divisors (39846600).

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

13993560 is a wasteful number, since it uses less digits than its factorization.

13993560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 13993560 is about 3740.7967065854. The cubic root of 13993560 is about 240.9772652348.

The spelling of 13993560 in words is "thirteen million, nine hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 617 630 648 756 810 840 945 1080 1134 1234 1260 1512 1620 1851 1890 2268 2468 2520 2835 3085 3240 3702 3780 4319 4536 4936 5553 5670 6170 7404 7560 8638 9255 11106 11340 12340 12957 14808 16659 17276 18510 21595 22212 22680 24680 25914 27765 33318 34552 37020 38871 43190 44424 49977 51828 55530 64785 66636 74040 77742 83295 86380 99954 103656 111060 116613 129570 133272 155484 166590 172760 194355 199908 222120 233226 249885 259140 310968 333180 349839 388710 399816 466452 499770 518280 583065 666360 699678 777420 932904 999540 1166130 1399356 1554840 1749195 1999080 2332260 2798712 3498390 4664520 6996780 13993560