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18934580 = 225721392
BaseRepresentation
bin100100000111…
…0101100110100
31022121222100202
41020032230310
514321401310
61513500032
7316640600
oct110165464
938558322
1018934580
11a762915
126411618
133bcc4c2
14272c500
1519e03a5
hex120eb34

18934580 has 54 divisors (see below), whose sum is σ = 46589634. Its totient is φ = 6445152.

The previous prime is 18934547. The next prime is 18934607. The reversal of 18934580 is 8543981.

It can be written as a sum of positive squares in only one way, i.e., 15147664 + 3786916 = 3892^2 + 1946^2 .

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 17 ways as a sum of consecutive naturals, for example, 136151 + ... + 136289.

It is an arithmetic number, because the mean of its divisors is an integer number (862771).

Almost surely, 218934580 is an apocalyptic number.

18934580 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 18934580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23294817).

18934580 is an abundant number, since it is smaller than the sum of its proper divisors (27655054).

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

18934580 is a wasteful number, since it uses less digits than its factorization.

18934580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 18934580 is about 4351.3882842146. The cubic root of 18934580 is about 266.5335550937.

The spelling of 18934580 in words is "eighteen million, nine hundred thirty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 139 140 196 245 278 490 556 695 973 980 1390 1946 2780 3892 4865 6811 9730 13622 19321 19460 27244 34055 38642 68110 77284 96605 135247 136220 193210 270494 386420 540988 676235 946729 1352470 1893458 2704940 3786916 4733645 9467290 18934580