Search a number
-
+
2025071720 = 235743316703
BaseRepresentation
bin111100010110100…
…0010010001101000
312020010112022011022
41320231002101220
513121404243340
6532540152012
7101116553120
oct17055022150
95203468138
102025071720
1194a1113a1
12486238608
132637150b9
14152d43c80
15bcbb63b5
hex78b42468

2025071720 has 64 divisors (see below), whose sum is σ = 5219665920. Its totient is φ = 692665344.

The previous prime is 2025071687. The next prime is 2025071747. The reversal of 2025071720 is 271705202.

It is a super-2 number, since 2×20250717202 = 8201830942287516800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2025071720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112889 + ... + 129591.

It is an arithmetic number, because the mean of its divisors is an integer number (81557280).

Almost surely, 22025071720 is an apocalyptic number.

2025071720 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 2025071720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609832960).

2025071720 is an abundant number, since it is smaller than the sum of its proper divisors (3194594200).

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

2025071720 is a wasteful number, since it uses less digits than its factorization.

2025071720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154 (or 17150 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 2025071720 is about 45000.7968818331. The cubic root of 2025071720 is about 1265.1639338234.

Adding to 2025071720 its reverse (271705202), we get a palindrome (2296776922).

The spelling of 2025071720 in words is "two billion, twenty-five million, seventy-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 433 866 1732 2165 3031 3464 4330 6062 8660 12124 15155 16703 17320 24248 30310 33406 60620 66812 83515 116921 121240 133624 167030 233842 334060 467684 584605 668120 935368 1169210 2338420 4676840 7232399 14464798 28929596 36161995 50626793 57859192 72323990 101253586 144647980 202507172 253133965 289295960 405014344 506267930 1012535860 2025071720