Search a number
-
+
2890203120 = 24355767317
BaseRepresentation
bin1010110001000100…
…1111111111110000
321110102102112100000
42230101033333300
521404342444440
61154443030000
7131423215110
oct25421177760
97412375300
102890203120
111253498422
12687b0b300
13370a2077c
141d5bc5040
1511db06730
hexac44fff0

2890203120 has 480 divisors, whose sum is σ = 11712250368. Its totient is φ = 648705024.

The previous prime is 2890203103. The next prime is 2890203137. The reversal of 2890203120 is 213020982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2890203103) and next prime (2890203137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9117202 + ... + 9117518.

Almost surely, 22890203120 is an apocalyptic number.

2890203120 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 2890203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856125184).

2890203120 is an abundant number, since it is smaller than the sum of its proper divisors (8822047248).

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

2890203120 is a wasteful number, since it uses less digits than its factorization.

2890203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2890203120 is about 53760.6093715464. The cubic root of 2890203120 is about 1424.4354993995.

The spelling of 2890203120 in words is "two billion, eight hundred ninety million, two hundred three thousand, one hundred twenty".