Search a number
-
+
13415142 = 23131767151
BaseRepresentation
bin110011001011…
…001011100110
3221020120010010
4303023023212
511413241032
61155311050
7222012126
oct63131346
927216103
1013415142
117632aa4
1245ab486
132a19170
141ad2c86
15129eccc
hexccb2e6

13415142 has 64 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 3801600.

The previous prime is 13415119. The next prime is 13415147. The reversal of 13415142 is 24151431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13415147) 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, 88767 + ... + 88917.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

Almost surely, 213415142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13415142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

13415142 is an abundant number, since it is smaller than the sum of its proper divisors (17840922).

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

13415142 is a wasteful number, since it uses less digits than its factorization.

13415142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 480, while the sum is 21.

The square root of 13415142 is about 3662.6686991864. The cubic root of 13415142 is about 237.6102062865.

Adding to 13415142 its reverse (24151431), we get a palindrome (37566573).

It can be divided in two parts, 1 and 3415142, that added together give a palindrome (3415143).

The spelling of 13415142 in words is "thirteen million, four hundred fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 67 78 102 134 151 201 221 302 402 442 453 663 871 906 1139 1326 1742 1963 2278 2567 2613 3417 3926 5134 5226 5889 6834 7701 10117 11778 14807 15402 20234 29614 30351 33371 44421 60702 66742 88842 100113 131521 171989 200226 263042 343978 394563 515967 789126 1031934 2235857 4471714 6707571 13415142