Search a number
-
+
2090943360 = 273251161541
BaseRepresentation
bin111110010100001…
…0100001110000000
312101201110221001200
41330220110032000
513240240141420
6543252101200
7102546503532
oct17450241600
95351427050
102090943360
11983312770
124a4304800
132742697bc
1415b9ad852
15c3878b90
hex7ca14380

2090943360 has 384 divisors, whose sum is σ = 8020602720. Its totient is φ = 497664000.

The previous prime is 2090943359. The next prime is 2090943401. The reversal of 2090943360 is 633490902.

It is a happy number.

2090943360 is a `hidden beast` number, since 209 + 0 + 94 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3864690 + ... + 3865230.

Almost surely, 22090943360 is an apocalyptic number.

2090943360 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 2090943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010301360).

2090943360 is an abundant number, since it is smaller than the sum of its proper divisors (5929659360).

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

2090943360 is a wasteful number, since it uses less digits than its factorization.

2090943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2090943360 is about 45726.8341348928. The cubic root of 2090943360 is about 1278.7356003802.

The spelling of 2090943360 in words is "two billion, ninety million, nine hundred forty-three thousand, three hundred sixty".