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18131960 = 2357211292
BaseRepresentation
bin100010100101…
…0101111111000
31021010012101002
41011022233320
514120210320
61444344132
7310055600
oct105125770
937105332
1018131960
11a2648a0
1260a5048
1339ab092
14259dc00
1518d2675
hex114abf8

18131960 has 144 divisors (see below), whose sum is σ = 53618760. Its totient is φ = 5456640.

The previous prime is 18131951. The next prime is 18131977. The reversal of 18131960 is 6913181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 625226 + ... + 625254.

Almost surely, 218131960 is an apocalyptic number.

18131960 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 18131960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26809380).

18131960 is an abundant number, since it is smaller than the sum of its proper divisors (35486800).

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

18131960 is a wasteful number, since it uses less digits than its factorization.

18131960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 18131960 is about 4258.1639235708. The cubic root of 18131960 is about 262.7130122842.

It can be divided in two parts, 18131 and 960, that added together give a palindrome (19091).

The spelling of 18131960 in words is "eighteen million, one hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 49 55 56 58 70 77 88 98 110 116 140 145 154 196 203 220 232 245 280 290 308 319 385 392 406 440 490 539 580 616 638 770 812 841 980 1015 1078 1160 1276 1421 1540 1595 1624 1682 1960 2030 2156 2233 2552 2695 2842 3080 3190 3364 4060 4205 4312 4466 5390 5684 5887 6380 6728 7105 8120 8410 8932 9251 10780 11165 11368 11774 12760 14210 15631 16820 17864 18502 21560 22330 23548 28420 29435 31262 33640 37004 41209 44660 46255 47096 56840 58870 62524 64757 74008 78155 82418 89320 92510 117740 125048 129514 156310 164836 185020 206045 235480 259028 312620 323785 329672 370040 412090 453299 518056 625240 647570 824180 906598 1295140 1648360 1813196 2266495 2590280 3626392 4532990 9065980 18131960