Search a number
-
+
6991120020 = 2235235066029
BaseRepresentation
bin1101000001011010…
…00000011010010100
3200001020000200202010
412200231000122110
5103304211320040
63113415544220
7335150353053
oct64055003224
920036020663
106991120020
112a68339a45
12143138b070
13875517111
144a46c839a
152adb62e80
hex1a0b40694

6991120020 has 48 divisors (see below), whose sum is σ = 20426232960. Its totient is φ = 1783241856.

The previous prime is 6991120013. The next prime is 6991120021. The reversal of 6991120020 is 200211996.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6991120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6991120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531635 + ... + 2534394.

It is an arithmetic number, because the mean of its divisors is an integer number (425546520).

Almost surely, 26991120020 is an apocalyptic number.

6991120020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6991120020 is an abundant number, since it is smaller than the sum of its proper divisors (13435112940).

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

6991120020 is a wasteful number, since it uses less digits than its factorization.

6991120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066064 (or 5066062 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 6991120020 is about 83612.9177818834. The cubic root of 6991120020 is about 1912.1219456924.

The spelling of 6991120020 in words is "six billion, nine hundred ninety-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 5066029 10132058 15198087 20264116 25330145 30396174 50660290 60792348 75990435 101320580 116518667 151980870 233037334 303961740 349556001 466074668 582593335 699112002 1165186670 1398224004 1747780005 2330373340 3495560010 6991120020