Search a number
-
+
18029520 = 2433517491
BaseRepresentation
bin100010011000…
…1101111010000
31020220222212000
41010301233100
514103421040
61442234000
7306151125
oct104615720
936828760
1018029520
11a1a4933
126055900
133973572
14257474c
1518b2130
hex1131bd0

18029520 has 160 divisors (see below), whose sum is σ = 65888640. Its totient is φ = 4515840.

The previous prime is 18029491. The next prime is 18029521. The reversal of 18029520 is 2592081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18029521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36475 + ... + 36965.

It is an arithmetic number, because the mean of its divisors is an integer number (411804).

Almost surely, 218029520 is an apocalyptic number.

18029520 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 18029520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32944320).

18029520 is an abundant number, since it is smaller than the sum of its proper divisors (47859120).

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

18029520 is a wasteful number, since it uses less digits than its factorization.

18029520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 18029520 is about 4246.1182272754. The cubic root of 18029520 is about 262.2173283690.

The spelling of 18029520 in words is "eighteen million, twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 491 510 540 612 680 720 765 816 918 982 1020 1080 1224 1360 1473 1530 1836 1964 2040 2160 2295 2448 2455 2946 3060 3672 3928 4080 4419 4590 4910 5892 6120 7344 7365 7856 8347 8838 9180 9820 11784 12240 13257 14730 16694 17676 18360 19640 22095 23568 25041 26514 29460 33388 35352 36720 39280 41735 44190 50082 53028 58920 66285 66776 70704 75123 83470 88380 100164 106056 117840 125205 132570 133552 150246 166940 176760 200328 212112 225369 250410 265140 300492 333880 353520 375615 400656 450738 500820 530280 600984 667760 751230 901476 1001640 1060560 1126845 1201968 1502460 1802952 2003280 2253690 3004920 3605904 4507380 6009840 9014760 18029520