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11819640 = 2335714071
BaseRepresentation
bin101101000101…
…101001111000
3211020111111110
4231011221320
511011212030
61101200320
7202315410
oct55055170
924214443
1011819640
1167432a8
123b600a0
1325aab91
1417d9640
1510871b0
hexb45a78

11819640 has 64 divisors (see below), whose sum is σ = 40527360. Its totient is φ = 2701440.

The previous prime is 11819629. The next prime is 11819659. The reversal of 11819640 is 4691811.

11819640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×118196404 (a number of 29 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 11819598 and 11819607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6196 + ... + 7875.

It is an arithmetic number, because the mean of its divisors is an integer number (633240).

Almost surely, 211819640 is an apocalyptic number.

11819640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11819640 is an abundant number, since it is smaller than the sum of its proper divisors (28707720).

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

11819640 is a wasteful number, since it uses less digits than its factorization.

11819640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11819640 is about 3437.9703314601. The cubic root of 11819640 is about 227.7900498819.

The spelling of 11819640 in words is "eleven million, eight hundred nineteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 14071 28142 42213 56284 70355 84426 98497 112568 140710 168852 196994 211065 281420 295491 337704 393988 422130 492485 562840 590982 787976 844260 984970 1181964 1477455 1688520 1969940 2363928 2954910 3939880 5909820 11819640