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15131412 = 2232420317
BaseRepresentation
bin111001101110…
…001100010100
31001110202101200
4321232030110
512333201122
61300152500
7242420622
oct71561424
931422350
1015131412
1185a54aa
125098730
13319a3ca
14201c512
1514dd5ac
hexe6e314

15131412 has 18 divisors (see below), whose sum is σ = 38248938. Its totient is φ = 5043792.

The previous prime is 15131387. The next prime is 15131437. The reversal of 15131412 is 21413151.

15131412 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 an interprime number because it is at equal distance from previous prime (15131387) and next prime (15131437).

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 5171076 = 3156^2 + 2274^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×151314122 = 457919258227488, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 210123 + ... + 210194.

It is an arithmetic number, because the mean of its divisors is an integer number (2124941).

Almost surely, 215131412 is an apocalyptic number.

15131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15131412 is an abundant number, since it is smaller than the sum of its proper divisors (23117526).

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

15131412 is a wasteful number, since it uses less digits than its factorization.

15131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420327 (or 420322 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 15131412 is about 3889.9115671182. The cubic root of 15131412 is about 247.3393141262.

Adding to 15131412 its reverse (21413151), we get a palindrome (36544563).

The spelling of 15131412 in words is "fifteen million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 420317 840634 1260951 1681268 2521902 3782853 5043804 7565706 15131412