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12146240 = 26537957
BaseRepresentation
bin101110010101…
…011001000000
3211212002111202
4232111121000
511102134430
61112200332
7205145531
oct56253100
924762452
1012146240
116946717
1240990a8
132693732
141882688
1510edd45
hexb95640

12146240 has 28 divisors (see below), whose sum is σ = 28923996. Its totient is φ = 4858368.

The previous prime is 12146221. The next prime is 12146287. The reversal of 12146240 is 4264121.

It can be written as a sum of positive squares in 2 ways, for example, as 1700416 + 10445824 = 1304^2 + 3232^2 .

It is a super-2 number, since 2×121462402 = 295062292275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18659 + ... + 19298.

Almost surely, 212146240 is an apocalyptic number.

12146240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146240 is an abundant number, since it is smaller than the sum of its proper divisors (16777756).

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

12146240 is an equidigital number, since it uses as much as digits as its factorization.

12146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37974 (or 37964 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12146240 is about 3485.1456210609. The cubic root of 12146240 is about 229.8691126749.

The spelling of 12146240 in words is "twelve million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 37957 75914 151828 189785 303656 379570 607312 759140 1214624 1518280 2429248 3036560 6073120 12146240