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18682965 = 3257237229
BaseRepresentation
bin100011101000…
…1010001010101
31022011012012200
41013101101111
514240323330
61504235113
7314542200
oct107212125
938135180
1018682965
11a600874
12630ba99
133b41b12
1426a4937
151990a60
hex11d1455

18682965 has 72 divisors (see below), whose sum is σ = 38858040. Its totient is φ = 8273664.

The previous prime is 18682957. The next prime is 18682967. The reversal of 18682965 is 56928681.

It can be written as a sum of positive squares in 4 ways, for example, as 9790641 + 8892324 = 3129^2 + 2982^2 .

It is not a de Polignac number, because 18682965 - 23 = 18682957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18682965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18682967) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 81471 + ... + 81699.

It is an arithmetic number, because the mean of its divisors is an integer number (539695).

Almost surely, 218682965 is an apocalyptic number.

18682965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18682965 is an abundant number, since it is smaller than the sum of its proper divisors (20175075).

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

18682965 is a wasteful number, since it uses less digits than its factorization.

18682965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 18682965 is about 4322.3795529777. The cubic root of 18682965 is about 265.3476628303.

The spelling of 18682965 in words is "eighteen million, six hundred eighty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 105 111 147 185 229 245 259 315 333 441 555 687 735 777 1145 1295 1603 1665 1813 2061 2205 2331 3435 3885 4809 5439 8015 8473 9065 10305 11221 11655 14427 16317 24045 25419 27195 33663 42365 56105 59311 72135 76257 81585 100989 127095 168315 177933 296555 381285 415177 504945 533799 889665 1245531 2075885 2668995 3736593 6227655 18682965