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18529940 = 225112131931
BaseRepresentation
bin100011010101…
…1111010010100
31021212102022002
41012223322110
514220424230
61501054432
7313334102
oct106537224
937772262
1018529940
11a506900
126257418
133aba280
142664c72
151960545
hex11abe94

18529940 has 144 divisors (see below), whose sum is σ = 50050560. Its totient is φ = 5702400.

The previous prime is 18529937. The next prime is 18529943. The reversal of 18529940 is 4992581.

It is an interprime number because it is at equal distance from previous prime (18529937) and next prime (18529943).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 18529894 and 18529903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18529943) 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 47 ways as a sum of consecutive naturals, for example, 597725 + ... + 597755.

Almost surely, 218529940 is an apocalyptic number.

18529940 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 18529940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25025280).

18529940 is an abundant number, since it is smaller than the sum of its proper divisors (31520620).

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

18529940 is a wasteful number, since it uses less digits than its factorization.

18529940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 18529940 is about 4304.6416807906. The cubic root of 18529940 is about 264.6212222315.

The spelling of 18529940 in words is "eighteen million, five hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 31 38 44 52 55 62 65 76 95 110 121 124 130 143 155 190 209 220 242 247 260 286 310 341 380 403 418 484 494 572 589 605 620 682 715 806 836 988 1045 1178 1210 1235 1364 1430 1573 1612 1705 2015 2090 2299 2356 2420 2470 2717 2860 2945 3146 3410 3751 4030 4180 4433 4598 4940 5434 5890 6292 6479 6820 7502 7657 7865 8060 8866 9196 10868 11495 11780 12958 13585 15004 15314 15730 17732 18755 22165 22990 25916 27170 29887 30628 31460 32395 37510 38285 44330 45980 48763 54340 59774 64790 71269 75020 76570 84227 88660 97526 119548 129580 142538 149435 153140 168454 195052 243815 285076 298870 336908 356345 421135 487630 597740 712690 842270 926497 975260 1425380 1684540 1852994 3705988 4632485 9264970 18529940