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1895140 = 2251337197
BaseRepresentation
bin111001110101011100100
310120021122101
413032223210
5441121030
6104341444
722052122
oct7165344
93507571
101895140
111084935
12774884
135147b0
14374912
152767ca
hex1ceae4

1895140 has 48 divisors (see below), whose sum is σ = 4424112. Its totient is φ = 677376.

The previous prime is 1895129. The next prime is 1895141. The reversal of 1895140 is 415981.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 1747684 = 384^2 + 1322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1895099 and 1895108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1895141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9522 + ... + 9718.

It is an arithmetic number, because the mean of its divisors is an integer number (92169).

21895140 is an apocalyptic number.

1895140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1895140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212056).

1895140 is an abundant number, since it is smaller than the sum of its proper divisors (2528972).

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

1895140 is a wasteful number, since it uses less digits than its factorization.

1895140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1895140 is about 1376.6408391443. The cubic root of 1895140 is about 123.7505390583.

It can be divided in two parts, 189 and 5140, that added together give a square (5329 = 732).

The spelling of 1895140 in words is "one million, eight hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 197 260 370 394 481 740 788 962 985 1924 1970 2405 2561 3940 4810 5122 7289 9620 10244 12805 14578 25610 29156 36445 51220 72890 94757 145780 189514 379028 473785 947570 1895140