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13414152 = 23319231279
BaseRepresentation
bin110011001010…
…111100001000
3221020111202110
4303022330020
511413223102
61155302320
7222006213
oct63127410
927214673
1013414152
117632284
1245aa9a0
132a1888b
141ad277a
15129e86c
hexccaf08

13414152 has 64 divisors (see below), whose sum is σ = 36864000. Its totient is φ = 4048704.

The previous prime is 13414127. The next prime is 13414157. The reversal of 13414152 is 25141431.

It is not an unprimeable number, because it can be changed into a prime (13414157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9849 + ... + 11127.

It is an arithmetic number, because the mean of its divisors is an integer number (576000).

Almost surely, 213414152 is an apocalyptic number.

13414152 is a gapful number since it is divisible by the number (12) 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 13414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432000).

13414152 is an abundant number, since it is smaller than the sum of its proper divisors (23449848).

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

13414152 is a wasteful number, since it uses less digits than its factorization.

13414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

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

The square root of 13414152 is about 3662.5335493344. The cubic root of 13414152 is about 237.6043611529.

Adding to 13414152 its reverse (25141431), we get a palindrome (38555583).

The spelling of 13414152 in words is "thirteen million, four hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1279 1311 1748 2558 2622 3496 3837 5116 5244 7674 10232 10488 15348 24301 29417 30696 48602 58834 72903 88251 97204 117668 145806 176502 194408 235336 291612 353004 558923 583224 706008 1117846 1676769 2235692 3353538 4471384 6707076 13414152