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2620009920 = 2635111371811
BaseRepresentation
bin1001110000101010…
…0010110111000000
320202121000021221110
42130022202313000
520331210304140
61111551523320
7121632500613
oct23412426700
96677007843
102620009920
111124a22260
12611529540
13329a5aa38
141abd7017a
15105034380
hex9c2a2dc0

2620009920 has 224 divisors, whose sum is σ = 9146048256. Its totient is φ = 630169600.

The previous prime is 2620009871. The next prime is 2620009937. The reversal of 2620009920 is 299000262.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1445815 + ... + 1447625.

Almost surely, 22620009920 is an apocalyptic number.

2620009920 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 2620009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573024128).

2620009920 is an abundant number, since it is smaller than the sum of its proper divisors (6526038336).

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

2620009920 is a wasteful number, since it uses less digits than its factorization.

2620009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2620009920 is about 51186.0324698057. The cubic root of 2620009920 is about 1378.5874224541.

The spelling of 2620009920 in words is "two billion, six hundred twenty million, nine thousand, nine hundred twenty".