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15000414 = 23111317483
BaseRepresentation
bin111001001110…
…001101011110
31001020002200220
4321032031132
512320003124
61253302210
7241333662
oct71161536
931202626
1015000414
118516040
125034966
1331528b0
141dc68a2
1514b4879
hexe4e35e

15000414 has 32 divisors (see below), whose sum is σ = 35247744. Its totient is φ = 4195680.

The previous prime is 15000413. The next prime is 15000451. The reversal of 15000414 is 41400051.

It is a junction number, because it is equal to n+sod(n) for n = 15000393 and 15000402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15000413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7884 + ... + 9599.

It is an arithmetic number, because the mean of its divisors is an integer number (1101492).

Almost surely, 215000414 is an apocalyptic number.

15000414 is an abundant number, since it is smaller than the sum of its proper divisors (20247330).

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

15000414 is a wasteful number, since it uses less digits than its factorization.

15000414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17512.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 15000414 is about 3873.0367930088. The cubic root of 15000414 is about 246.6234763273.

Adding to 15000414 its reverse (41400051), we get a palindrome (56400465).

The spelling of 15000414 in words is "fifteen million, four hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 17483 34966 52449 104898 192313 227279 384626 454558 576939 681837 1153878 1363674 2500069 5000138 7500207 15000414