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1893940 = 225281337
BaseRepresentation
bin111001110011000110100
310120012222221
413032120310
5441101230
6104332124
722045456
oct7163064
93505887
101893940
111083a44
12774044
13514099
143742d6
1527627a
hex1ce634

1893940 has 24 divisors (see below), whose sum is σ = 4003272. Its totient is φ = 752640.

The previous prime is 1893937. The next prime is 1893949. The reversal of 1893940 is 493981.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 1737124 = 396^2 + 1318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1893896 and 1893905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1893949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5452 + ... + 5788.

It is an arithmetic number, because the mean of its divisors is an integer number (166803).

21893940 is an apocalyptic number.

1893940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1893940 is an abundant number, since it is smaller than the sum of its proper divisors (2109332).

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

1893940 is a wasteful number, since it uses less digits than its factorization.

1893940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

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

The square root of 1893940 is about 1376.2049266007. The cubic root of 1893940 is about 123.7244139873.

The spelling of 1893940 in words is "one million, eight hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 281 337 562 674 1124 1348 1405 1685 2810 3370 5620 6740 94697 189394 378788 473485 946970 1893940