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12640374 = 23531839
BaseRepresentation
bin110000001110…
…000001110110
3212210012100000
4300032001312
511213442444
61130532130
7212304255
oct60160166
925705300
1012640374
11715399a
124297046
132807616
14197079c
15119a469
hexc0e076

12640374 has 48 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 4072680.

The previous prime is 12640373. The next prime is 12640393. The reversal of 12640374 is 47304621.

12640374 is a `hidden beast` number, since 12 + 640 + 3 + 7 + 4 = 666.

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 (12640373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14647 + ... + 15485.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 212640374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

12640374 is an abundant number, since it is smaller than the sum of its proper divisors (16712586).

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

12640374 is an equidigital number, since it uses as much as digits as its factorization.

12640374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 12640374 is about 3555.3303643965. The cubic root of 12640374 is about 232.9449543626.

Adding to 12640374 its reverse (47304621), we get a palindrome (59944995).

The spelling of 12640374 in words is "twelve million, six hundred forty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 839 1674 1678 2511 2517 5022 5034 7533 7551 15066 15102 22653 26009 45306 52018 67959 78027 135918 156054 203877 234081 407754 468162 702243 1404486 2106729 4213458 6320187 12640374