Search a number
-
+
2597820240 = 243510824251
BaseRepresentation
bin1001101011010111…
…1001011101010000
320201001020221102110
42122311321131100
520310020221430
61105440145320
7121243051641
oct23265713520
96631227373
102597820240
111113446884
12606008240
1332528ba52
141a90356c8
151030ee7b0
hex9ad79750

2597820240 has 40 divisors (see below), whose sum is σ = 8053243488. Its totient is φ = 692752000.

The previous prime is 2597820233. The next prime is 2597820241. The reversal of 2597820240 is 420287952.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2597820241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5411886 + ... + 5412365.

Almost surely, 22597820240 is an apocalyptic number.

2597820240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2597820240 is an abundant number, since it is smaller than the sum of its proper divisors (5455423248).

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

2597820240 is a wasteful number, since it uses less digits than its factorization.

2597820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824267 (or 10824261 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2597820240 is about 50968.8163488225. The cubic root of 2597820240 is about 1374.6844878274.

It can be divided in two parts, 2597820 and 240, that added together give a triangular number (2598060 = T2279).

The spelling of 2597820240 in words is "two billion, five hundred ninety-seven million, eight hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10824251 21648502 32472753 43297004 54121255 64945506 86594008 108242510 129891012 162363765 173188016 216485020 259782024 324727530 432970040 519564048 649455060 865940080 1298910120 2597820240