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12972420 = 2233524023
BaseRepresentation
bin110001011111…
…000110000100
3220102001211000
4301133012010
511310104140
61142013300
7215156316
oct61370604
926361730
1012972420
11736040a
124417230
1328c27b6
141a197b6
151213a30
hexc5f184

12972420 has 48 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3459168.

The previous prime is 12972371. The next prime is 12972457. The reversal of 12972420 is 2427921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11472 + ... + 12551.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 212972420 is an apocalyptic number.

12972420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12972420 is an abundant number, since it is smaller than the sum of its proper divisors (27387900).

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

12972420 is a wasteful number, since it uses less digits than its factorization.

12972420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24041 (or 24033 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12972420 is about 3601.7245869167. The cubic root of 12972420 is about 234.9670694765.

The spelling of 12972420 in words is "twelve million, nine hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 24023 48046 72069 96092 120115 144138 216207 240230 288276 360345 432414 480460 648621 720690 864828 1081035 1297242 1441380 2162070 2594484 3243105 4324140 6486210 12972420