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12028640 = 255135783
BaseRepresentation
bin101101111000…
…101011100000
3211122010012012
4231320223200
511034404030
61105452052
7204145631
oct55705340
924563165
1012028640
116876328
124041028
132652050
141851888
1510c9095
hexb78ae0

12028640 has 48 divisors (see below), whose sum is σ = 30608928. Its totient is φ = 4440576.

The previous prime is 12028637. The next prime is 12028657. The reversal of 12028640 is 4682021.

12028640 = T305 + T306 + ... + T464.

12028640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (637686).

Almost surely, 212028640 is an apocalyptic number.

12028640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12028640 is an abundant number, since it is smaller than the sum of its proper divisors (18580288).

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

12028640 is a wasteful number, since it uses less digits than its factorization.

12028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12028640 is about 3468.2329794868. The cubic root of 12028640 is about 229.1248405576.

The spelling of 12028640 in words is "twelve million, twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5783 11566 23132 28915 46264 57830 75179 92528 115660 150358 185056 231320 300716 375895 462640 601432 751790 925280 1202864 1503580 2405728 3007160 6014320 12028640