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13303424 = 2737532
BaseRepresentation
bin110010101111…
…111010000000
3221000212212102
4302233322000
511401202144
61153045532
7221035331
oct62577200
927025772
1013303424
117567072
1245568a8
1329aa364
141aa4288
15127bb4e
hexcafe80

13303424 has 48 divisors (see below), whose sum is σ = 27742470. Its totient is φ = 6349824.

The previous prime is 13303403. The next prime is 13303471. The reversal of 13303424 is 42430331.

13303424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13249600 + 53824 = 3640^2 + 232^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13303396 and 13303405.

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, 250982 + ... + 251034.

Almost surely, 213303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871235).

13303424 is an abundant number, since it is smaller than the sum of its proper divisors (14439046).

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

13303424 is an frugal number, since it uses more digits than its factorization.

13303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 13303424 is about 3647.3859132261. The cubic root of 13303424 is about 236.9487803763.

Adding to 13303424 its reverse (42430331), we get a palindrome (55733755).

The spelling of 13303424 in words is "thirteen million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 128 148 212 296 424 592 848 1184 1696 1961 2368 2809 3392 3922 4736 5618 6784 7844 11236 15688 22472 31376 44944 62752 89888 103933 125504 179776 207866 251008 359552 415732 831464 1662928 3325856 6651712 13303424