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2056132040 = 2353112131367
BaseRepresentation
bin111101010001110…
…0001010111001000
312022021222022220112
41322203201113020
513202332211130
6540010013452
7101644556024
oct17243412710
95267868815
102056132040
119656a6486
12494717288
13269c9b8a1
1415710b384
15c079e495
hex7a8e15c8

2056132040 has 64 divisors (see below), whose sum is σ = 4782965760. Its totient is φ = 794684160.

The previous prime is 2056132037. The next prime is 2056132049. The reversal of 2056132040 is 402316502.

It is a junction number, because it is equal to n+sod(n) for n = 2056131997 and 2056132015.

It is not an unprimeable number, because it can be changed into a prime (2056132049) 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, 1503437 + ... + 1504803.

It is an arithmetic number, because the mean of its divisors is an integer number (74733840).

Almost surely, 22056132040 is an apocalyptic number.

2056132040 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 2056132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391482880).

2056132040 is an abundant number, since it is smaller than the sum of its proper divisors (2726833720).

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

2056132040 is a wasteful number, since it uses less digits than its factorization.

2056132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2056132040 is about 45344.5921803251. The cubic root of 2056132040 is about 1271.5994562458.

Adding to 2056132040 its reverse (402316502), we get a palindrome (2458448542).

The spelling of 2056132040 in words is "two billion, fifty-six million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1213 1240 1367 2426 2734 4852 5468 6065 6835 9704 10936 12130 13670 24260 27340 37603 42377 48520 54680 75206 84754 150412 169508 188015 211885 300824 339016 376030 423770 752060 847540 1504120 1658171 1695080 3316342 6632684 8290855 13265368 16581710 33163420 51403301 66326840 102806602 205613204 257016505 411226408 514033010 1028066020 2056132040