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18820312 = 2372411171
BaseRepresentation
bin100011111001…
…0110011011000
31022102011121121
41013302303120
514304222222
61511215024
7315653500
oct107626330
938364547
1018820312
11a694a85
126377474
133b8c4a4
1426dca00
1519bb5c7
hex11f2cd8

18820312 has 48 divisors (see below), whose sum is σ = 42086520. Its totient is φ = 7862400.

The previous prime is 18820301. The next prime is 18820313. The reversal of 18820312 is 21302881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18820313) 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 11 ways as a sum of consecutive naturals, for example, 15487 + ... + 16657.

Almost surely, 218820312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18820312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043260).

18820312 is an abundant number, since it is smaller than the sum of its proper divisors (23266208).

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

18820312 is a wasteful number, since it uses less digits than its factorization.

18820312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 18820312 is about 4338.2383521425. The cubic root of 18820312 is about 265.9963065046.

The spelling of 18820312 in words is "eighteen million, eight hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 1171 2009 2296 2342 4018 4684 8036 8197 9368 16072 16394 32788 48011 57379 65576 96022 114758 192044 229516 336077 384088 459032 672154 1344308 2352539 2688616 4705078 9410156 18820312