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2980900 = 2252132293
BaseRepresentation
bin1011010111110000100100
312121110000201
423113300210
51230342100
6143520244
734223446
oct13276044
95543021
102980900
11175665a
12bb9084
13804a60
14578496
153dd36a
hex2d7c24

2980900 has 36 divisors (see below), whose sum is σ = 6969172. Its totient is φ = 1100160.

The previous prime is 2980883. The next prime is 2980903. The reversal of 2980900 is 90892.

It is a happy number.

2980900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 2427364 = 744^2 + 1558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 154 + ... + 2446.

22980900 is an apocalyptic number.

2980900 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 2980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484586).

2980900 is an abundant number, since it is smaller than the sum of its proper divisors (3988272).

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

2980900 is a wasteful number, since it uses less digits than its factorization.

2980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 2980900 is about 1726.5283084850. The cubic root of 2980900 is about 143.9182277503.

The spelling of 2980900 in words is "two million, nine hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2293 4586 9172 11465 22930 29809 45860 57325 59618 114650 119236 149045 229300 298090 596180 745225 1490450 2980900