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2153648790 = 23357976477
BaseRepresentation
bin1000000001011110…
…0001001010010110
312120002110200202000
42000113201022112
513402313230130
6553412100130
7104240466306
oct20027411226
95502420660
102153648790
11a05751237
12501304646
13284252cc7
14166053606
15c9113260
hex805e1296

2153648790 has 32 divisors (see below), whose sum is σ = 5743064160. Its totient is φ = 574306272.

The previous prime is 2153648773. The next prime is 2153648797. The reversal of 2153648790 is 978463512.

2153648790 is a `hidden beast` number, since 2 + 1 + 536 + 48 + 79 + 0 = 666.

2153648790 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21536487902 = 9276406221336928200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2153648790 is strictly pandigital in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153648797) 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, 3987969 + ... + 3988508.

It is an arithmetic number, because the mean of its divisors is an integer number (179470755).

It is a 1-persistent number, because it is pandigital, but 2⋅2153648790 = 4307297580 is not.

Almost surely, 22153648790 is an apocalyptic number.

2153648790 is an abundant number, since it is smaller than the sum of its proper divisors (3589415370).

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

2153648790 is a wasteful number, since it uses less digits than its factorization.

2153648790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976493 (or 7976487 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2153648790 is about 46407.4217124804. The cubic root of 2153648790 is about 1291.3926010181.

The spelling of 2153648790 in words is "two billion, one hundred fifty-three million, six hundred forty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 7976477 15952954 23929431 39882385 47858862 71788293 79764770 119647155 143576586 215364879 239294310 358941465 430729758 717882930 1076824395 2153648790