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19461940 = 2251757241
BaseRepresentation
bin100101000111…
…1011100110100
31100121202202121
41022033130310
514440240230
61533045324
7324265231
oct112173464
940552677
1019461940
11aa93053
126626844
134055554
142828788
151a9677a
hex128f734

19461940 has 24 divisors (see below), whose sum is σ = 43274952. Its totient is φ = 7326720.

The previous prime is 19461931. The next prime is 19461977. The reversal of 19461940 is 4916491.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 17623204 = 1356^2 + 4198^2 .

It is a hoax number, since the sum of its digits (34) 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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 19461896 and 19461905.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28281 + ... + 28960.

It is an arithmetic number, because the mean of its divisors is an integer number (1803123).

Almost surely, 219461940 is an apocalyptic number.

19461940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19461940 is an abundant number, since it is smaller than the sum of its proper divisors (23813012).

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

19461940 is a wasteful number, since it uses less digits than its factorization.

19461940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57267 (or 57265 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 19461940 is about 4411.5688819285. The cubic root of 19461940 is about 268.9854011047.

The spelling of 19461940 in words is "nineteen million, four hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 57241 114482 228964 286205 572410 973097 1144820 1946194 3892388 4865485 9730970 19461940