Search a number
-
+
2040102320 = 24543797507
BaseRepresentation
bin111100110011001…
…0111110110110000
312021011210221021012
41321212113312300
513134231233240
6534234250052
7101361404114
oct17146276660
95234727235
102040102320
11957648083
1248b286928
13266878649
14154d37744
15be184b65
hex79997db0

2040102320 has 80 divisors (see below), whose sum is σ = 4915637760. Its totient is φ = 786868992.

The previous prime is 2040102307. The next prime is 2040102329. The reversal of 2040102320 is 232010402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2040102295 and 2040102304.

It is not an unprimeable number, because it can be changed into a prime (2040102329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268007 + ... + 275513.

It is an arithmetic number, because the mean of its divisors is an integer number (61445472).

Almost surely, 22040102320 is an apocalyptic number.

2040102320 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 2040102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457818880).

2040102320 is an abundant number, since it is smaller than the sum of its proper divisors (2875535440).

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

2040102320 is a wasteful number, since it uses less digits than its factorization.

2040102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2040102320 is about 45167.4918497806. The cubic root of 2040102320 is about 1268.2863447894.

Adding to 2040102320 its reverse (232010402), we get a palindrome (2272112722).

The spelling of 2040102320 in words is "two billion, forty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 79 80 86 158 172 215 316 344 395 430 632 688 790 860 1264 1580 1720 3160 3397 3440 6320 6794 7507 13588 15014 16985 27176 30028 33970 37535 54352 60056 67940 75070 120112 135880 150140 271760 300280 322801 593053 600560 645602 1186106 1291204 1614005 2372212 2582408 2965265 3228010 4744424 5164816 5930530 6456020 9488848 11861060 12912040 23722120 25501279 25824080 47444240 51002558 102005116 127506395 204010232 255012790 408020464 510025580 1020051160 2040102320