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12013974 = 233737859
BaseRepresentation
bin101101110101…
…000110010110
3211121101002000
4231311012112
511033421344
61105300130
7204055110
oct55650626
924541060
1012013974
116866305
124034646
13264847b
14184a3b0
1510c4a69
hexb75196

12013974 has 64 divisors (see below), whose sum is σ = 31372800. Its totient is φ = 3335904.

The previous prime is 12013973. The next prime is 12013997. The reversal of 12013974 is 47931021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013973) 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 31 ways as a sum of consecutive naturals, for example, 13557 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (490200).

Almost surely, 212013974 is an apocalyptic number.

12013974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686400).

12013974 is an abundant number, since it is smaller than the sum of its proper divisors (19358826).

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

12013974 is a wasteful number, since it uses less digits than its factorization.

12013974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12013974 is about 3466.1180014535. The cubic root of 12013974 is about 229.0316820197.

Adding to 12013974 its reverse (47931021), we get a palindrome (59944995).

It can be divided in two parts, 1201 and 3974, that multiplied together give a palindrome (4772774).

The spelling of 12013974 in words is "twelve million, thirteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 859 999 1554 1718 1998 2331 2577 4662 5154 6013 6993 7731 12026 13986 15462 18039 23193 31783 36078 46386 54117 63566 95349 108234 162351 190698 222481 286047 324702 444962 572094 667443 858141 1334886 1716282 2002329 4004658 6006987 12013974