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12931216 = 24292312
BaseRepresentation
bin110001010101…
…000010010000
3220022222021221
4301111002100
511302244331
61141054424
7214625224
oct61250220
926288257
1012931216
117332461
1243b7414
1328a9b0c
141a08784
151206711
hexc55090

12931216 has 45 divisors (see below), whose sum is σ = 26811993. Its totient is φ = 6041280.

The previous prime is 12931213. The next prime is 12931223. The reversal of 12931216 is 61213921.

The square root of 12931216 is 3596.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6780816 + 6150400 = 2604^2 + 2480^2 .

It is not an unprimeable number, because it can be changed into a prime (12931213) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 417121 + ... + 417151.

Almost surely, 212931216 is an apocalyptic number.

12931216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12931216 is the 3596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12931216

12931216 is an abundant number, since it is smaller than the sum of its proper divisors (13880777).

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

12931216 is an equidigital number, since it uses as much as digits as its factorization.

12931216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 62 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The cubic root of 12931216 is about 234.7180321157.

Multiplying 12931216 by its sum of digits (25), we get a square (323280400 = 179802).

The spelling of 12931216 in words is "twelve million, nine hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 841 899 961 1682 1798 1922 3364 3596 3844 6728 7192 7688 13456 14384 15376 26071 27869 52142 55738 104284 111476 208568 222952 417136 445904 808201 1616402 3232804 6465608 12931216