[go: up one dir, main page]

Search a number
-
+
2086040 = 235112431
BaseRepresentation
bin111111101010010011000
310220222111202
413331102120
51013223130
6112413332
723505515
oct7752230
93828452
102086040
1111a5300
12847248
13580658
143c430c
152b3145
hex1fd498

2086040 has 48 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 756800.

The previous prime is 2086037. The next prime is 2086043. The reversal of 2086040 is 406802.

It is an interprime number because it is at equal distance from previous prime (2086037) and next prime (2086043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4625 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

22086040 is an apocalyptic number.

2086040 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 2086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2086040 is an abundant number, since it is smaller than the sum of its proper divisors (3085000).

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

2086040 is a wasteful number, since it uses less digits than its factorization.

2086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2086040 is about 1444.3129854709. The cubic root of 2086040 is about 127.7735253083.

The spelling of 2086040 in words is "two million, eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 431 440 484 605 862 968 1210 1724 2155 2420 3448 4310 4741 4840 8620 9482 17240 18964 23705 37928 47410 52151 94820 104302 189640 208604 260755 417208 521510 1043020 2086040