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2168072620 = 225724153959
BaseRepresentation
bin1000000100111010…
…0010100110101100
312121002121111111221
42001032202212230
513420011310440
6555045153124
7104504212300
oct20116424654
95532544457
102168072620
11a1290305a
125060bb7a4
1328723330c
14167d29d00
15ca511d4a
hex813a29ac

2168072620 has 72 divisors (see below), whose sum is σ = 5425570080. Its totient is φ = 725195520.

The previous prime is 2168072597. The next prime is 2168072623. The reversal of 2168072620 is 262708612.

It is not an unprimeable number, because it can be changed into a prime (2168072623) 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 23 ways as a sum of consecutive naturals, for example, 13201 + ... + 67159.

It is an arithmetic number, because the mean of its divisors is an integer number (75355140).

Almost surely, 22168072620 is an apocalyptic number.

2168072620 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 2168072620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712785040).

2168072620 is an abundant number, since it is smaller than the sum of its proper divisors (3257497460).

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

2168072620 is a wasteful number, since it uses less digits than its factorization.

2168072620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54023 (or 54014 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2168072620 is about 46562.5667247844. The cubic root of 2168072620 is about 1294.2691761499.

The spelling of 2168072620 in words is "two billion, one hundred sixty-eight million, seventy-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5740 8036 10045 20090 40180 53959 107918 215836 269795 377713 539590 755426 1079180 1510852 1888565 2212319 2643991 3777130 4424638 5287982 7554260 8849276 10575964 11061595 13219955 15486233 22123190 26439910 30972466 44246380 52879820 61944932 77431165 108403631 154862330 216807262 309724660 433614524 542018155 1084036310 2168072620