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12472000 = 26531559
BaseRepresentation
bin101111100100…
…111011000000
3212110122100221
4233210323000
511143101000
61123152424
7211003342
oct57447300
925418327
1012472000
117049442
124215714
132778aa8
141929292
15116561a
hexbe4ec0

12472000 has 56 divisors (see below), whose sum is σ = 30906720. Its totient is φ = 4985600.

The previous prime is 12471973. The next prime is 12472039. The reversal of 12472000 is 27421.

12472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7221 + ... + 8779.

Almost surely, 212472000 is an apocalyptic number.

12472000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453360).

12472000 is an abundant number, since it is smaller than the sum of its proper divisors (18434720).

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

12472000 is an equidigital number, since it uses as much as digits as its factorization.

12472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12472000 is about 3531.5718879842. The cubic root of 12472000 is about 231.9060261494.

Adding to 12472000 its reverse (27421), we get a palindrome (12499421).

The spelling of 12472000 in words is "twelve million, four hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1559 1600 2000 3118 4000 6236 7795 8000 12472 15590 24944 31180 38975 49888 62360 77950 99776 124720 155900 194875 249440 311800 389750 498880 623600 779500 1247200 1559000 2494400 3118000 6236000 12472000