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18162820 = 2251369857
BaseRepresentation
bin100010101001…
…0010010000100
31021011202201001
41011102102010
514122202240
61445143044
7310244554
oct105222204
937152631
1018162820
11a285aa5
1260baa84
1339bc140
1425ab164
1518db89a
hex1152484

18162820 has 24 divisors (see below), whose sum is σ = 41076504. Its totient is φ = 6706176.

The previous prime is 18162797. The next prime is 18162839. The reversal of 18162820 is 2826181.

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 18113536 = 222^2 + 4256^2 .

It is a super-3 number, since 3×181628203 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34669 + ... + 35188.

It is an arithmetic number, because the mean of its divisors is an integer number (1711521).

Almost surely, 218162820 is an apocalyptic number.

18162820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18162820 is an abundant number, since it is smaller than the sum of its proper divisors (22913684).

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

18162820 is a wasteful number, since it uses less digits than its factorization.

18162820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69879 (or 69877 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 18162820 is about 4261.7860105829. The cubic root of 18162820 is about 262.8619707795.

It can be divided in two parts, 181 and 62820, that added together give a square (63001 = 2512).

The spelling of 18162820 in words is "eighteen million, one hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 69857 139714 279428 349285 698570 908141 1397140 1816282 3632564 4540705 9081410 18162820