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12146820 = 2235728921
BaseRepresentation
bin101110010101…
…100010000100
3211212010022020
4232111202010
511102144240
61112203140
7205150320
oct56254204
924763266
1012146820
1169470a4
1240994b0
132693a8a
141882980
1510ee0d0
hexb95884

12146820 has 48 divisors (see below), whose sum is σ = 38871168. Its totient is φ = 2776320.

The previous prime is 12146819. The next prime is 12146839. The reversal of 12146820 is 2864121.

It is a super-2 number, since 2×121468202 = 295090472224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14041 + ... + 14880.

It is an arithmetic number, because the mean of its divisors is an integer number (809816).

Almost surely, 212146820 is an apocalyptic number.

12146820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146820 is an abundant number, since it is smaller than the sum of its proper divisors (26724348).

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

12146820 is a wasteful number, since it uses less digits than its factorization.

12146820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28940 (or 28938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12146820 is about 3485.2288303639. The cubic root of 12146820 is about 229.8727714742.

The spelling of 12146820 in words is "twelve million, one hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 28921 57842 86763 115684 144605 173526 202447 289210 347052 404894 433815 578420 607341 809788 867630 1012235 1214682 1735260 2024470 2429364 3036705 4048940 6073410 12146820