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12485820 = 22351712241
BaseRepresentation
bin101111101000…
…010010111100
3212111100022210
4233220102330
511144021240
61123340420
7211061544
oct57502274
925440283
1012485820
117058866
124221710
132782179
141930324
151169780
hexbe84bc

12485820 has 48 divisors (see below), whose sum is σ = 37019808. Its totient is φ = 3133440.

The previous prime is 12485813. The next prime is 12485827. The reversal of 12485820 is 2858421.

It is an interprime number because it is at equal distance from previous prime (12485813) and next prime (12485827).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12485827) by changing a digit.

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, 5101 + ... + 7140.

It is an arithmetic number, because the mean of its divisors is an integer number (771246).

Almost surely, 212485820 is an apocalyptic number.

12485820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12485820 is an abundant number, since it is smaller than the sum of its proper divisors (24533988).

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

12485820 is a wasteful number, since it uses less digits than its factorization.

12485820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12485820 is about 3533.5279820599. The cubic root of 12485820 is about 231.9916515030.

The spelling of 12485820 in words is "twelve million, four hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 12241 24482 36723 48964 61205 73446 122410 146892 183615 208097 244820 367230 416194 624291 734460 832388 1040485 1248582 2080970 2497164 3121455 4161940 6242910 12485820