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2120265020 = 225373837481
BaseRepresentation
bin111111001100000…
…1010110100111100
312110202122121211002
41332120022310330
513320241440040
6550220345432
7103353645446
oct17630126474
95422577732
102120265020
1199891a545
124b20a5278
1327a364ab3
14161843496
15c621ba15
hex7e60ad3c

2120265020 has 48 divisors (see below), whose sum is σ = 4585448448. Its totient is φ = 822919680.

The previous prime is 2120265013. The next prime is 2120265029. The reversal of 2120265020 is 205620212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2120264983 and 2120265001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120265029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279680 + ... + 287160.

It is an arithmetic number, because the mean of its divisors is an integer number (95530176).

Almost surely, 22120265020 is an apocalyptic number.

2120265020 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 2120265020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292724224).

2120265020 is an abundant number, since it is smaller than the sum of its proper divisors (2465183428).

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

2120265020 is a wasteful number, since it uses less digits than its factorization.

2120265020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2120265020 is about 46046.3355762432. The cubic root of 2120265020 is about 1284.6851858408.

Adding to 2120265020 its reverse (205620212), we get a palindrome (2325885232).

The spelling of 2120265020 in words is "two billion, one hundred twenty million, two hundred sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 383 740 766 1532 1915 3830 7481 7660 14171 14962 28342 29924 37405 56684 70855 74810 141710 149620 276797 283420 553594 1107188 1383985 2767970 2865223 5535940 5730446 11460892 14326115 28652230 57304460 106013251 212026502 424053004 530066255 1060132510 2120265020