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12542040 = 233457279
BaseRepresentation
bin101111110110…
…000001011000
3212121012110000
4233312001120
511202321130
61124453000
7211414500
oct57660130
925535400
1012542040
117097025
12424a160
1327a1934
141946a00
15117b260
hexbf6058

12542040 has 240 divisors, whose sum is σ = 49658400. Its totient is φ = 2830464.

The previous prime is 12542029. The next prime is 12542059. The reversal of 12542040 is 4024521.

12542040 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158721 + ... + 158799.

It is an arithmetic number, because the mean of its divisors is an integer number (206910).

Almost surely, 212542040 is an apocalyptic number.

12542040 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 12542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24829200).

12542040 is an abundant number, since it is smaller than the sum of its proper divisors (37116360).

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

12542040 is a wasteful number, since it uses less digits than its factorization.

12542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12542040 is about 3541.4742692839. The cubic root of 12542040 is about 232.3393270753.

Adding to 12542040 its reverse (4024521), we get a palindrome (16566561).

The spelling of 12542040 in words is "twelve million, five hundred forty-two thousand, forty".