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18790641 = 329772137
BaseRepresentation
bin100011110101…
…1100011110001
31022100122220200
41013223203301
514302300031
61510425413
7315501132
oct107534361
938318820
1018790641
11a674761
126362269
133b7bb2c
1426d1c89
1519b28e6
hex11eb8f1

18790641 has 12 divisors (see below), whose sum is σ = 27182532. Its totient is φ = 12508416.

The previous prime is 18790633. The next prime is 18790663. The reversal of 18790641 is 14609781.

18790641 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 0 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 9790641 = 3000^2 + 3129^2 .

It is not a de Polignac number, because 18790641 - 23 = 18790633 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18790596 and 18790605.

It is not an unprimeable number, because it can be changed into a prime (18790631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7725 + ... + 9861.

It is an arithmetic number, because the mean of its divisors is an integer number (2265211).

Almost surely, 218790641 is an apocalyptic number.

It is an amenable number.

18790641 is a deficient number, since it is larger than the sum of its proper divisors (8391891).

18790641 is a wasteful number, since it uses less digits than its factorization.

18790641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 18790641 is about 4334.8172971880. The cubic root of 18790641 is about 265.8564482564.

The spelling of 18790641 in words is "eighteen million, seven hundred ninety thousand, six hundred forty-one".

Divisors: 1 3 9 977 2137 2931 6411 8793 19233 2087849 6263547 18790641