Search a number
-
+
2025040120 = 235474572357
BaseRepresentation
bin111100010110011…
…1010100011111000
312020010110200210221
41320230322203320
513121402240440
6532535345424
7101116362025
oct17054724370
95203420727
102025040120
1194a09a684
12486222274
132637038bc
14152d3654c
15bcbabd4a
hex78b3a8f8

2025040120 has 64 divisors (see below), whose sum is σ = 4665444480. Its totient is φ = 790711296.

The previous prime is 2025040109. The next prime is 2025040123. The reversal of 2025040120 is 210405202.

It is a super-2 number, since 2×20250401202 = 8201574975219228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2025040094 and 2025040103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025040123) 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 15 ways as a sum of consecutive naturals, for example, 857982 + ... + 860338.

It is an arithmetic number, because the mean of its divisors is an integer number (72897570).

Almost surely, 22025040120 is an apocalyptic number.

2025040120 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 2025040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332722240).

2025040120 is an abundant number, since it is smaller than the sum of its proper divisors (2640404360).

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

2025040120 is a wasteful number, since it uses less digits than its factorization.

2025040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2025040120 is about 45000.4457755698. The cubic root of 2025040120 is about 1265.1573530872.

Adding to 2025040120 its reverse (210405202), we get a palindrome (2235445322).

The spelling of 2025040120 in words is "two billion, twenty-five million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 457 470 914 940 1828 1880 2285 2357 3656 4570 4714 9140 9428 11785 18280 18856 21479 23570 42958 47140 85916 94280 107395 110779 171832 214790 221558 429580 443116 553895 859160 886232 1077149 1107790 2154298 2215580 4308596 4431160 5385745 8617192 10771490 21542980 43085960 50626003 101252006 202504012 253130015 405008024 506260030 1012520060 2025040120