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2420911880 = 235296134213
BaseRepresentation
bin1001000001001100…
…0010111100001000
320020201101001202222
42100103002330020
514424223140010
61040120313212
7113664261062
oct22023027410
96221331688
102420911880
1110325a5a22
12576912808
132c772b14a
1418d744732
15e2807355
hex904c2f08

2420911880 has 64 divisors (see below), whose sum is σ = 5727423600. Its totient is φ = 919618560.

The previous prime is 2420911807. The next prime is 2420911891. The reversal of 2420911880 is 881190242.

It can be written as a sum of positive squares in 8 ways, for example, as 858607204 + 1562304676 = 29302^2 + 39526^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2420911880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53654 + ... + 87866.

Almost surely, 22420911880 is an apocalyptic number.

2420911880 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 2420911880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863711800).

2420911880 is an abundant number, since it is smaller than the sum of its proper divisors (3306511720).

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

2420911880 is a wasteful number, since it uses less digits than its factorization.

2420911880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34314 (or 34310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 2420911880 is about 49202.7629305510. The cubic root of 2420911880 is about 1342.7432995602.

The spelling of 2420911880 in words is "two billion, four hundred twenty million, nine hundred eleven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 1160 1220 1769 2440 3538 7076 8845 14152 17690 34213 35380 68426 70760 136852 171065 273704 342130 684260 992177 1368520 1984354 2086993 3968708 4173986 4960885 7937416 8347972 9921770 10434965 16695944 19843540 20869930 39687080 41739860 60522797 83479720 121045594 242091188 302613985 484182376 605227970 1210455940 2420911880