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18487040 = 2851113101
BaseRepresentation
bin100011010000…
…1011100000000
31021210020110012
41012201130000
514213041130
61500124052
7313065035
oct106413400
937706405
1018487040
11a487650
126236628
133aa38a0
14265338c
151952995
hex11a1700

18487040 has 144 divisors (see below), whose sum is σ = 52538976. Its totient is φ = 6144000.

The previous prime is 18487039. The next prime is 18487061. The reversal of 18487040 is 4078481.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 18486988 and 18487006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182990 + ... + 183090.

It is an arithmetic number, because the mean of its divisors is an integer number (364854).

Almost surely, 218487040 is an apocalyptic number.

18487040 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 18487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269488).

18487040 is an abundant number, since it is smaller than the sum of its proper divisors (34051936).

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

18487040 is a wasteful number, since it uses less digits than its factorization.

18487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 18487040 is about 4299.6558001775. The cubic root of 18487040 is about 264.4168498748.

It can be divided in two parts, 1848 and 7040, that added together give a palindrome (8888).

The spelling of 18487040 in words is "eighteen million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 101 104 110 128 130 143 160 176 202 208 220 256 260 286 320 352 404 416 440 505 520 572 640 704 715 808 832 880 1010 1040 1111 1144 1280 1313 1408 1430 1616 1664 1760 2020 2080 2222 2288 2626 2816 2860 3232 3328 3520 4040 4160 4444 4576 5252 5555 5720 6464 6565 7040 8080 8320 8888 9152 10504 11110 11440 12928 13130 14080 14443 16160 16640 17776 18304 21008 22220 22880 25856 26260 28886 32320 35552 36608 42016 44440 45760 52520 57772 64640 71104 72215 84032 88880 91520 105040 115544 129280 142208 144430 168064 177760 183040 210080 231088 284416 288860 336128 355520 420160 462176 577720 711040 840320 924352 1155440 1422080 1680640 1848704 2310880 3697408 4621760 9243520 18487040