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18683640 = 2332551899
BaseRepresentation
bin100011101000…
…1011011111000
31022011020010200
41013101123320
514240334030
61504242200
7314544153
oct107213370
938136120
1018683640
11a601328
126310360
133b42211
1426a4c9a
151990d60
hex11d16f8

18683640 has 48 divisors (see below), whose sum is σ = 60723000. Its totient is φ = 4982208.

The previous prime is 18683633. The next prime is 18683641. The reversal of 18683640 is 4638681.

It is a happy number.

18683640 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18683595 and 18683604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18683641) 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, 25590 + ... + 26309.

Almost surely, 218683640 is an apocalyptic number.

18683640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18683640 is an abundant number, since it is smaller than the sum of its proper divisors (42039360).

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

18683640 is a wasteful number, since it uses less digits than its factorization.

18683640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51916 (or 51909 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 18683640 is about 4322.4576342632. The cubic root of 18683640 is about 265.3508583887.

The spelling of 18683640 in words is "eighteen million, six hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 51899 103798 155697 207596 259495 311394 415192 467091 518990 622788 778485 934182 1037980 1245576 1556970 1868364 2075960 2335455 3113940 3736728 4670910 6227880 9341820 18683640