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12191040 = 263351783
BaseRepresentation
bin101110100000…
…010101000000
3211221100222000
4232200111000
511110103130
61113144000
7205423251
oct56402500
924840860
1012191040
116977344
1240bb000
1326aac44
141894b28
15110c260
hexba0540

12191040 has 224 divisors, whose sum is σ = 46085760. Its totient is φ = 3022848.

The previous prime is 12191021. The next prime is 12191041. The reversal of 12191040 is 4019121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12191041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146839 + ... + 146921.

It is an arithmetic number, because the mean of its divisors is an integer number (205740).

Almost surely, 212191040 is an apocalyptic number.

12191040 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 12191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

12191040 is an abundant number, since it is smaller than the sum of its proper divisors (33894720).

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

12191040 is a wasteful number, since it uses less digits than its factorization.

12191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12191040 is about 3491.5669834617. The cubic root of 12191040 is about 230.1513811236.

The spelling of 12191040 in words is "twelve million, one hundred ninety-one thousand, forty".