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2155067720 = 2351322910993
BaseRepresentation
bin1000000001110011…
…1011100101001000
312120012010210010222
42000130323211020
513403144131340
6553502325212
7104255526161
oct20034734510
95505123128
102155067720
11a06530303
12501889808
1328462bb00
14166302768
15c92e38b5
hex8073b948

2155067720 has 96 divisors (see below), whose sum is σ = 5432135400. Its totient is φ = 768208896.

The previous prime is 2155067687. The next prime is 2155067729. The reversal of 2155067720 is 277605512.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 120516484 + 2034551236 = 10978^2 + 45106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155067729) 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, 190544 + ... + 201536.

Almost surely, 22155067720 is an apocalyptic number.

2155067720 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 2155067720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716067700).

2155067720 is an abundant number, since it is smaller than the sum of its proper divisors (3277067680).

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

2155067720 is a wasteful number, since it uses less digits than its factorization.

2155067720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11042 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 2155067720 is about 46422.7069439084. The cubic root of 2155067720 is about 1291.6761497928.

The spelling of 2155067720 in words is "two billion, one hundred fifty-five million, sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 169 232 260 290 338 377 520 580 676 754 845 1160 1352 1508 1690 1885 3016 3380 3770 4901 6760 7540 9802 10993 15080 19604 21986 24505 39208 43972 49010 54965 87944 98020 109930 142909 196040 219860 285818 318797 439720 571636 637594 714545 1143272 1275188 1429090 1593985 1857817 2550376 2858180 3187970 3715634 4144361 5716360 6375940 7431268 8288722 9289085 12751880 14862536 16577444 18578170 20721805 33154888 37156340 41443610 53876693 74312680 82887220 107753386 165774440 215506772 269383465 431013544 538766930 1077533860 2155067720