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2025120320 = 26519834013
BaseRepresentation
bin111100010110100…
…1110001001000000
312020010121202211022
41320231032021000
513121412322240
6532541205012
7101120144606
oct17055161100
95203552738
102025120320
1194a144963
12486260768
13263731262
14152d57876
15bcbc59b5
hex78b4e240

2025120320 has 112 divisors (see below), whose sum is σ = 5138562240. Its totient is φ = 757979136.

The previous prime is 2025120319. The next prime is 2025120337. The reversal of 2025120320 is 230215202.

It is a super-2 number, since 2×20251203202 = 8202224620953804800, which contains 22 as substring.

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, 502634 + ... + 506646.

It is an arithmetic number, because the mean of its divisors is an integer number (45880020).

Almost surely, 22025120320 is an apocalyptic number.

2025120320 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 2025120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569281120).

2025120320 is an abundant number, since it is smaller than the sum of its proper divisors (3113441920).

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

2025120320 is a wasteful number, since it uses less digits than its factorization.

2025120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2025120320 is about 45001.3368690309. The cubic root of 2025120320 is about 1265.1740546954.

Adding to 2025120320 its reverse (230215202), we get a palindrome (2255335522).

The spelling of 2025120320 in words is "two billion, twenty-five million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 83 95 152 160 166 190 304 320 332 380 415 608 664 760 830 1216 1328 1520 1577 1660 2656 3040 3154 3320 4013 5312 6080 6308 6640 7885 8026 12616 13280 15770 16052 20065 25232 26560 31540 32104 40130 50464 63080 64208 76247 80260 100928 126160 128416 152494 160520 252320 256832 304988 321040 333079 381235 504640 609976 642080 666158 762470 1219952 1284160 1332316 1524940 1665395 2439904 2664632 3049880 3330790 4879808 5329264 6099760 6328501 6661580 10658528 12199520 12657002 13323160 21317056 24399040 25314004 26646320 31642505 50628008 53292640 63285010 101256016 106585280 126570020 202512032 253140040 405024064 506280080 1012560160 2025120320