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2065440 = 253513331
BaseRepresentation
bin111111000010000100000
310212221020210
413320100200
51012043230
6112134120
723361456
oct7702040
93787223
102065440
111190883
12837340
13574170
143ba9d6
152abeb0
hex1f8420

2065440 has 96 divisors (see below), whose sum is σ = 7027776. Its totient is φ = 506880.

The previous prime is 2065429. The next prime is 2065489. The reversal of 2065440 is 445602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 6075 + ... + 6405.

It is an arithmetic number, because the mean of its divisors is an integer number (73206).

22065440 is an apocalyptic number.

2065440 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 2065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513888).

2065440 is an abundant number, since it is smaller than the sum of its proper divisors (4962336).

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

2065440 is a wasteful number, since it uses less digits than its factorization.

2065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2065440 is about 1437.1638737458. The cubic root of 2065440 is about 127.3515380774.

The spelling of 2065440 in words is "two million, sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 331 390 416 480 520 624 662 780 993 1040 1248 1324 1560 1655 1986 2080 2648 3120 3310 3972 4303 4965 5296 6240 6620 7944 8606 9930 10592 12909 13240 15888 17212 19860 21515 25818 26480 31776 34424 39720 43030 51636 52960 64545 68848 79440 86060 103272 129090 137696 158880 172120 206544 258180 344240 413088 516360 688480 1032720 2065440