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2160576324 = 22326121272
BaseRepresentation
bin1000000011000111…
…1100011101000100
312120120111122112100
42000301330131010
513411101420244
6554220352100
7104353411224
oct20061743504
95516448470
102160576324
11a09652a75
125036a5630
1328580a23a
14166d38084
15c9a30b69
hex80c7c744

2160576324 has 81 divisors (see below), whose sum is σ = 5596521021. Its totient is φ = 702807840.

The previous prime is 2160576311. The next prime is 2160576329. The reversal of 2160576324 is 4236750612.

The square root of 2160576324 is 46482.

It is a perfect power (a square), and thus also a powerful number.

2160576324 is a `hidden beast` number, since 2 + 1 + 60 + 576 + 3 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 2090318400 = 8382^2 + 45720^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2160576329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17012349 + ... + 17012475.

Almost surely, 22160576324 is an apocalyptic number.

2160576324 is the 46482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2160576324

2160576324 is an abundant number, since it is smaller than the sum of its proper divisors (3435944697).

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

2160576324 is a wasteful number, since it uses less digits than its factorization.

2160576324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 2160576324 is about 1292.7757716120.

Multiplying 2160576324 by its sum of digits (36), we get a square (77780747664 = 2788922).

2160576324 divided by its sum of digits (36) gives a square (60016009 = 77472).

It can be divided in two parts, 2160576 and 324, that added together give a square (2160900 = 14702).

The spelling of 2160576324 in words is "two billion, one hundred sixty million, five hundred seventy-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 127 183 244 254 366 381 508 549 732 762 1098 1143 1524 2196 2286 3721 4572 7442 7747 11163 14884 15494 16129 22326 23241 30988 32258 33489 44652 46482 48387 64516 66978 69723 92964 96774 133956 139446 145161 193548 278892 290322 472567 580644 945134 983869 1417701 1890268 1967738 2835402 2951607 3935476 4253103 5670804 5903214 8506206 8854821 11806428 17012412 17709642 35419284 60016009 120032018 180048027 240064036 360096054 540144081 720192108 1080288162 2160576324