Search a number
-
+
2062794240 = 29325137197
BaseRepresentation
bin111101011110011…
…1011111000000000
312022202111210201200
41322330323320000
513211033403430
6540404501200
7102055314243
oct17274737000
95282453650
102062794240
11969436931
124969aa800
1326b492110
14157d6325a
15c1168460
hex7af3be00

2062794240 has 480 divisors, whose sum is σ = 7882370496. Its totient is φ = 495452160.

The previous prime is 2062794197. The next prime is 2062794259. The reversal of 2062794240 is 424972602.

2062794240 is a `hidden beast` number, since 2 + 0 + 627 + 9 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2062794195 and 2062794204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21265872 + ... + 21265968.

Almost surely, 22062794240 is an apocalyptic number.

2062794240 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 2062794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941185248).

2062794240 is an abundant number, since it is smaller than the sum of its proper divisors (5819576256).

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

2062794240 is a wasteful number, since it uses less digits than its factorization.

2062794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2062794240 is about 45417.9946717157. The cubic root of 2062794240 is about 1272.9713714616.

The spelling of 2062794240 in words is "two billion, sixty-two million, seven hundred ninety-four thousand, two hundred forty".