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18087080 = 23511237101
BaseRepresentation
bin100010011111…
…1110010101000
31021000220210212
41010333302220
514112241310
61443400252
7306511004
oct104776250
937026725
1018087080
11a234100
126083088
13399381b
14258b704
1518c4205
hex113fca8

18087080 has 96 divisors (see below), whose sum is σ = 46395720. Its totient is φ = 6336000.

The previous prime is 18087079. The next prime is 18087101. The reversal of 18087080 is 8078081.

It can be written as a sum of positive squares in 4 ways, for example, as 18028516 + 58564 = 4246^2 + 242^2 .

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 23 ways as a sum of consecutive naturals, for example, 179030 + ... + 179130.

Almost surely, 218087080 is an apocalyptic number.

18087080 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 18087080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23197860).

18087080 is an abundant number, since it is smaller than the sum of its proper divisors (28308640).

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

18087080 is a wasteful number, since it uses less digits than its factorization.

18087080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 18087080 is about 4252.8907815743. The cubic root of 18087080 is about 262.4960785506.

It can be divided in two parts, 1808 and 7080, that added together give a palindrome (8888).

The spelling of 18087080 in words is "eighteen million, eighty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 101 110 121 148 185 202 220 242 296 370 404 407 440 484 505 605 740 808 814 968 1010 1111 1210 1480 1628 2020 2035 2222 2420 3256 3737 4040 4070 4444 4477 4840 5555 7474 8140 8888 8954 11110 12221 14948 16280 17908 18685 22220 22385 24442 29896 35816 37370 41107 44440 44770 48884 61105 74740 82214 89540 97768 122210 149480 164428 179080 205535 244420 328856 411070 452177 488840 822140 904354 1644280 1808708 2260885 3617416 4521770 9043540 18087080