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2150027892 = 2232539711617
BaseRepresentation
bin1000000000100110…
…1101001001110100
312112211122201210200
42000021231021310
513400401343032
6553202320500
7104164635615
oct20011551164
95484581720
102150027892
11a036a8861
12500059130
13283585b6c
1416578dc0c
15c8b4a47c
hex8026d274

2150027892 has 72 divisors (see below), whose sum is σ = 5594903496. Its totient is φ = 695844864.

The previous prime is 2150027881. The next prime is 2150027917. The reversal of 2150027892 is 2987200512.

It can be written as a sum of positive squares in 4 ways, for example, as 329640336 + 1820387556 = 18156^2 + 42666^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179268 + ... + 190884.

It is an arithmetic number, because the mean of its divisors is an integer number (77706993).

Almost surely, 22150027892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150027892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797451748).

2150027892 is an abundant number, since it is smaller than the sum of its proper divisors (3444875604).

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

2150027892 is a wasteful number, since it uses less digits than its factorization.

2150027892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2150027892 is about 46368.3932436741. The cubic root of 2150027892 is about 1290.6684619164.

The spelling of 2150027892 in words is "two billion, one hundred fifty million, twenty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 3492 5141 10282 11617 15423 20564 23234 30846 34851 46269 46468 61692 69702 92538 104553 139404 185076 209106 418212 615701 1126849 1231402 1847103 2253698 2462804 3380547 3694206 4507396 5541309 6761094 7388412 10141641 11082618 13522188 20283282 22165236 40566564 59722997 119445994 179168991 238891988 358337982 537506973 716675964 1075013946 2150027892