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2124053604 = 223436717863
BaseRepresentation
bin111111010011010…
…0111110001100100
312111000210002210000
41332212213301210
513322224203404
6550433501300
7103431105051
oct17646476144
95430702700
102124053604
1199aa77a02
124b3411830
1327b09036a
1416214c028
15c6719339
hex7e9a7c64

2124053604 has 60 divisors (see below), whose sum is σ = 5568137344. Its totient is φ = 706049136.

The previous prime is 2124053551. The next prime is 2124053609. The reversal of 2124053604 is 4063504212.

2124053604 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 53 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2124053609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109977 + ... + 127839.

Almost surely, 22124053604 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 2124053604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784068672).

2124053604 is an abundant number, since it is smaller than the sum of its proper divisors (3444083740).

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

2124053604 is a wasteful number, since it uses less digits than its factorization.

2124053604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246 (or 18235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2124053604 is about 46087.4560374078. The cubic root of 2124053604 is about 1285.4499081167.

Adding to 2124053604 its reverse (4063504212), we get a palindrome (6187557816).

The spelling of 2124053604 in words is "two billion, one hundred twenty-four million, fifty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 367 734 1101 1468 2202 3303 4404 6606 9909 13212 17863 19818 29727 35726 39636 53589 59454 71452 107178 118908 160767 214356 321534 482301 643068 964602 1446903 1929204 2893806 5787612 6555721 13111442 19667163 26222884 39334326 59001489 78668652 118002978 177004467 236005956 354008934 531013401 708017868 1062026802 2124053604