Search a number
-
+
13002440 = 23511291019
BaseRepresentation
bin110001100110…
…011011001000
3220110120222212
4301212123020
511312034230
61142404252
7215342663
oct61463310
926416885
1013002440
117380a20
124430688
132903369
141a266da
15121c895
hexc666c8

13002440 has 64 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 4560640.

The previous prime is 13002439. The next prime is 13002463. The reversal of 13002440 is 4420031.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12251 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 213002440 is an apocalyptic number.

13002440 is a gapful number since it is divisible by the number (10) 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 13002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

13002440 is an abundant number, since it is smaller than the sum of its proper divisors (20045560).

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

13002440 is a wasteful number, since it uses less digits than its factorization.

13002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13002440 is about 3605.8896267080. The cubic root of 13002440 is about 235.1481787663.

Adding to 13002440 its reverse (4420031), we get a palindrome (17422471).

The spelling of 13002440 in words is "thirteen million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1019 1160 1276 1595 2038 2552 3190 4076 5095 6380 8152 10190 11209 12760 20380 22418 29551 40760 44836 56045 59102 89672 112090 118204 147755 224180 236408 295510 325061 448360 591020 650122 1182040 1300244 1625305 2600488 3250610 6501220 13002440