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18285372 = 2233719267
BaseRepresentation
bin100010111000…
…0001100111100
31021101222211000
41011300030330
514140112442
61451530300
7311265060
oct105601474
937358730
1018285372
11a35a086
126159990
133a32b61
1425ddaa0
151912d4c
hex117033c

18285372 has 144 divisors (see below), whose sum is σ = 58033920. Its totient is φ = 4875552.

The previous prime is 18285367. The next prime is 18285383. The reversal of 18285372 is 27358281.

18285372 is a `hidden beast` number, since 1 + 8 + 285 + 372 = 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 47 ways as a sum of consecutive naturals, for example, 272883 + ... + 272949.

Almost surely, 218285372 is an apocalyptic number.

18285372 is a gapful number since it is divisible by the number (12) 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 18285372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016960).

18285372 is an abundant number, since it is smaller than the sum of its proper divisors (39748548).

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

18285372 is a wasteful number, since it uses less digits than its factorization.

18285372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 18285372 is about 4276.1398480405. The cubic root of 18285372 is about 263.4518585530.

It can be divided in two parts, 18 and 285372, that added together give a triangular number (285390 = T755).

The spelling of 18285372 in words is "eighteen million, two hundred eighty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 67 76 84 108 114 126 133 134 171 189 201 228 252 266 268 342 361 378 399 402 469 513 532 603 684 722 756 798 804 938 1026 1083 1197 1206 1273 1407 1444 1596 1809 1876 2052 2166 2394 2412 2527 2546 2814 3249 3591 3618 3819 4221 4332 4788 5054 5092 5628 6498 7182 7236 7581 7638 8442 8911 9747 10108 11457 12663 12996 14364 15162 15276 16884 17822 19494 22743 22914 24187 25326 26733 30324 34371 35644 38988 45486 45828 48374 50652 53466 68229 68742 72561 80199 90972 96748 106932 136458 137484 145122 160398 169309 217683 240597 272916 290244 320796 338618 435366 481194 507927 653049 677236 870732 962388 1015854 1306098 1523781 2031708 2612196 3047562 4571343 6095124 9142686 18285372