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2087957260 = 225315363541
BaseRepresentation
bin111110001110011…
…1011001100001100
312101111212012220101
41330130323030030
513234004113020
6543104100444
7102512225644
oct17434731414
95344765811
102087957260
11981663214
124a3304724
1327376258c
1415b433524
15c348900a
hex7c73b30c

2087957260 has 48 divisors (see below), whose sum is σ = 4611624192. Its totient is φ = 792979200.

The previous prime is 2087957231. The next prime is 2087957269. The reversal of 2087957260 is 627597802.

It is a self number, because there is not a number n which added to its sum of digits gives 2087957260.

It is not an unprimeable number, because it can be changed into a prime (2087957269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090 + ... + 64630.

It is an arithmetic number, because the mean of its divisors is an integer number (96075504).

Almost surely, 22087957260 is an apocalyptic number.

2087957260 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 2087957260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305812096).

2087957260 is an abundant number, since it is smaller than the sum of its proper divisors (2523666932).

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

2087957260 is a wasteful number, since it uses less digits than its factorization.

2087957260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63634 (or 63632 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 2087957260 is about 45694.1709630452. The cubic root of 2087957260 is about 1278.1265847546.

The spelling of 2087957260 in words is "two billion, eighty-seven million, nine hundred fifty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 3286 6572 8215 16430 32860 63541 127082 254164 317705 635410 1270820 1969771 3367673 3939542 6735346 7879084 9848855 13470692 16838365 19697710 33676730 39395420 67353460 104397863 208795726 417591452 521989315 1043978630 2087957260