Search a number
-
+
2620922000 = 245311311597
BaseRepresentation
bin1001110000111000…
…0001100010010000
320202122201122002012
42130032001202100
520331424001000
61112023242052
7121643320004
oct23416014220
96678648065
102620922000
111125495544
126118a9328
13329cb9c28
141ac12a704
15105164735
hex9c381890

2620922000 has 80 divisors (see below), whose sum is σ = 6394023792. Its totient is φ = 1039001600.

The previous prime is 2620921999. The next prime is 2620922033. The reversal of 2620922000 is 2290262.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1130035456 + 1490886544 = 33616^2 + 38612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 220202 + ... + 231798.

Almost surely, 22620922000 is an apocalyptic number.

2620922000 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 2620922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197011896).

2620922000 is an abundant number, since it is smaller than the sum of its proper divisors (3773101792).

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

2620922000 is a wasteful number, since it uses less digits than its factorization.

2620922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2620922000 is about 51194.9411563291. The cubic root of 2620922000 is about 1378.7473755555.

The spelling of 2620922000 in words is "two billion, six hundred twenty million, nine hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5650 9040 11300 11597 14125 22600 23194 28250 45200 46388 56500 57985 92776 113000 115970 185552 226000 231940 289925 463880 579850 927760 1159700 1310461 1449625 2319400 2620922 2899250 4638800 5241844 5798500 6552305 10483688 11597000 13104610 20967376 23194000 26209220 32761525 52418440 65523050 104836880 131046100 163807625 262092200 327615250 524184400 655230500 1310461000 2620922000