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2135940 = 223597367
BaseRepresentation
bin1000001001011110000100
311000111221220
420021132010
51021322230
6113440340
724104142
oct10113604
94014856
102135940
111229844
128700b0
1359a291
143d8592
152c2d10
hex209784

2135940 has 48 divisors (see below), whose sum is σ = 6058752. Its totient is φ = 562176.

The previous prime is 2135933. The next prime is 2135951. The reversal of 2135940 is 495312.

It is a self number, because there is not a number n which added to its sum of digits gives 2135940.

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, 5637 + ... + 6003.

It is an arithmetic number, because the mean of its divisors is an integer number (126224).

22135940 is an apocalyptic number.

2135940 is a gapful number since it is divisible by the number (20) 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 2135940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029376).

2135940 is an abundant number, since it is smaller than the sum of its proper divisors (3922812).

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

2135940 is a wasteful number, since it uses less digits than its factorization.

2135940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2135940 is about 1461.4855456008. The cubic root of 2135940 is about 128.7843280444.

The spelling of 2135940 in words is "two million, one hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 367 388 485 582 734 970 1101 1164 1455 1468 1835 1940 2202 2910 3670 4404 5505 5820 7340 11010 22020 35599 71198 106797 142396 177995 213594 355990 427188 533985 711980 1067970 2135940