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12025320 = 2335234357
BaseRepresentation
bin101101110111…
…110111101000
3211121221122020
4231313313220
511034302240
61105424440
7204133146
oct55676750
924557566
1012025320
11687388a
12403b120
132650698
141850596
1510c80d0
hexb77de8

12025320 has 64 divisors (see below), whose sum is σ = 37653120. Its totient is φ = 3066624.

The previous prime is 12025319. The next prime is 12025327. The reversal of 12025320 is 2352021.

It is a super-2 number, since 2×120253202 = 289216642204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12025320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12025327) 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, 582 + ... + 4938.

It is an arithmetic number, because the mean of its divisors is an integer number (588330).

Almost surely, 212025320 is an apocalyptic number.

12025320 is a gapful number since it is divisible by the number (10) 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 12025320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18826560).

12025320 is an abundant number, since it is smaller than the sum of its proper divisors (25627800).

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

12025320 is a wasteful number, since it uses less digits than its factorization.

12025320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12025320 is about 3467.7543165570. The cubic root of 12025320 is about 229.1037585271.

Adding to 12025320 its reverse (2352021), we get a palindrome (14377341).

The spelling of 12025320 in words is "twelve million, twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4357 8714 13071 17428 21785 26142 34856 43570 52284 65355 87140 100211 104568 130710 174280 200422 261420 300633 400844 501055 522840 601266 801688 1002110 1202532 1503165 2004220 2405064 3006330 4008440 6012660 12025320