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18683040 = 253538923
BaseRepresentation
bin100011101000…
…1010010100000
31022011012022110
41013101102200
514240324130
61504235320
7314542335
oct107212240
938135273
1018683040
11a600932
12630bb40
133b41b6c
1426a498c
151990ab0
hex11d14a0

18683040 has 48 divisors (see below), whose sum is σ = 58853088. Its totient is φ = 4982016.

The previous prime is 18683033. The next prime is 18683053. The reversal of 18683040 is 4038681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18682989 and 18683007.

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, 18982 + ... + 19941.

It is an arithmetic number, because the mean of its divisors is an integer number (1226106).

Almost surely, 218683040 is an apocalyptic number.

18683040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18683040 is an abundant number, since it is smaller than the sum of its proper divisors (40170048).

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

18683040 is a wasteful number, since it uses less digits than its factorization.

18683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38941 (or 38933 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18683040 is about 4322.3882287458. The cubic root of 18683040 is about 265.3480178961.

The spelling of 18683040 in words is "eighteen million, six hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 38923 77846 116769 155692 194615 233538 311384 389230 467076 583845 622768 778460 934152 1167690 1245536 1556920 1868304 2335380 3113840 3736608 4670760 6227680 9341520 18683040