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13489960 = 23511233143
BaseRepresentation
bin110011011101…
…011100101000
3221101100202011
4303131130220
511423134320
61201045304
7222443221
oct63353450
927340664
1013489960
117684230
124626834
132a44233
141b12248
1512b705a
hexcdd728

13489960 has 128 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 4435200.

The previous prime is 13489921. The next prime is 13489963. The reversal of 13489960 is 6998431.

13489960 = T221 + T222 + ... + T450.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13489963) 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 31 ways as a sum of consecutive naturals, for example, 313699 + ... + 313741.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

It is a vampire number, since it can be written as 13649890 (with its own digits).

Almost surely, 213489960 is an apocalyptic number.

13489960 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 13489960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247680).

13489960 is an abundant number, since it is smaller than the sum of its proper divisors (23005400).

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

13489960 is a wasteful number, since it uses less digits than its factorization.

13489960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 13489960 is about 3672.8680891097. The cubic root of 13489960 is about 238.0511153540.

The spelling of 13489960 in words is "thirteen million, four hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 31 40 43 44 46 55 62 86 88 92 110 115 124 155 172 184 215 220 230 248 253 310 341 344 430 440 460 473 506 620 682 713 860 920 946 989 1012 1240 1265 1333 1364 1426 1705 1720 1892 1978 2024 2365 2530 2666 2728 2852 3410 3565 3784 3956 4730 4945 5060 5332 5704 6665 6820 7130 7843 7912 9460 9890 10120 10664 10879 13330 13640 14260 14663 15686 18920 19780 21758 26660 28520 29326 30659 31372 39215 39560 43516 53320 54395 58652 61318 62744 73315 78430 87032 108790 117304 122636 146630 153295 156860 217580 245272 293260 306590 313720 337249 435160 586520 613180 674498 1226360 1348996 1686245 2697992 3372490 6744980 13489960