Search a number
-
+
13337328 = 2431391999
BaseRepresentation
bin110010111000…
…001011110000
3221002121101010
4302320023300
511403243303
61153510520
7221236224
oct62701360
927077333
1013337328
11758a594
124572440
1329bc914
141ab2784
151286c03
hexcb82f0

13337328 has 40 divisors (see below), whose sum is σ = 34720000. Its totient is φ = 4411584.

The previous prime is 13337293. The next prime is 13337329. The reversal of 13337328 is 82373331.

It is a junction number, because it is equal to n+sod(n) for n = 13337295 and 13337304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13337329) 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 7 ways as a sum of consecutive naturals, for example, 5673 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 213337328 is an apocalyptic number.

It is an amenable number.

13337328 is an abundant number, since it is smaller than the sum of its proper divisors (21382672).

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

13337328 is a wasteful number, since it uses less digits than its factorization.

13337328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2143 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 13337328 is about 3652.0306679983. The cubic root of 13337328 is about 237.1498989400.

The spelling of 13337328 in words is "thirteen million, three hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 1999 2224 3336 3998 5997 6672 7996 11994 15992 23988 31984 47976 95952 277861 555722 833583 1111444 1667166 2222888 3334332 4445776 6668664 13337328