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13024296 = 2332374889
BaseRepresentation
bin110001101011…
…110000101000
3220111200222100
4301223300220
511313234141
61143053400
7215463465
oct61536050
926450870
1013024296
11739638a
124441260
1329102ac
141a3066c
1512240b6
hexc6bc28

13024296 has 48 divisors (see below), whose sum is σ = 36234900. Its totient is φ = 4223232.

The previous prime is 13024241. The next prime is 13024303. The reversal of 13024296 is 69242031.

It can be written as a sum of positive squares in 2 ways, for example, as 11655396 + 1368900 = 3414^2 + 1170^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 220 + ... + 5108.

Almost surely, 213024296 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 13024296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18117450).

13024296 is an abundant number, since it is smaller than the sum of its proper divisors (23210604).

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

13024296 is a wasteful number, since it uses less digits than its factorization.

13024296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13024296 is about 3608.9189517084. The cubic root of 13024296 is about 235.2798597341.

The spelling of 13024296 in words is "thirteen million, twenty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4889 9778 14667 19556 29334 39112 44001 58668 88002 117336 176004 180893 352008 361786 542679 723572 1085358 1447144 1628037 2170716 3256074 4341432 6512148 13024296