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2352053660 = 2251121019623
BaseRepresentation
bin1000110000110001…
…0111110110011100
320001220210201001112
42030030113312130
514304111204120
61025220401152
7112200061205
oct21414276634
96056721045
102352053660
11aa7744800
125578461b8
132b639c238
1418453c5ac
15db754bc5
hex8c317d9c

2352053660 has 72 divisors (see below), whose sum is σ = 5483485728. Its totient is φ = 846736000.

The previous prime is 2352053657. The next prime is 2352053687. The reversal of 2352053660 is 663502532.

2352053660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 239609 + ... + 249231.

It is an arithmetic number, because the mean of its divisors is an integer number (76159524).

Almost surely, 22352053660 is an apocalyptic number.

2352053660 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 2352053660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741742864).

2352053660 is an abundant number, since it is smaller than the sum of its proper divisors (3131432068).

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

2352053660 is a wasteful number, since it uses less digits than its factorization.

2352053660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 2352053660 is about 48497.9758340490. The cubic root of 2352053660 is about 1329.8900657245.

The spelling of 2352053660 in words is "two billion, three hundred fifty-two million, fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 9623 11110 12221 19246 22220 24442 38492 48115 48884 61105 96230 105853 122210 192460 211706 244420 423412 529265 971923 1058530 1164383 1943846 2117060 2328766 3887692 4657532 4859615 5821915 9719230 10691153 11643830 19438460 21382306 23287660 42764612 53455765 106911530 117602683 213823060 235205366 470410732 588013415 1176026830 2352053660