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13091840 = 21052557
BaseRepresentation
bin110001111100…
…010000000000
3220122010121222
4301330100000
511322414330
61144334212
7216164426
oct61742000
926563558
1013091840
117432103
124474368
132934c68
141a4b116
1512390e5
hexc7c400

13091840 has 44 divisors (see below), whose sum is σ = 31417356. Its totient is φ = 5234688.

The previous prime is 13091831. The next prime is 13091849. The reversal of 13091840 is 4819031.

It is an interprime number because it is at equal distance from previous prime (13091831) and next prime (13091849).

It can be written as a sum of positive squares in 2 ways, for example, as 5161984 + 7929856 = 2272^2 + 2816^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13091849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3842 + ... + 6398.

Almost surely, 213091840 is an apocalyptic number.

13091840 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 13091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708678).

13091840 is an abundant number, since it is smaller than the sum of its proper divisors (18325516).

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

13091840 is an equidigital number, since it uses as much as digits as its factorization.

13091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13091840 is about 3618.2647774866. The cubic root of 13091840 is about 235.6858791252.

It can be divided in two parts, 13091 and 840, that added together give a palindrome (13931).

The spelling of 13091840 in words is "thirteen million, ninety-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2557 2560 5114 5120 10228 12785 20456 25570 40912 51140 81824 102280 163648 204560 327296 409120 654592 818240 1309184 1636480 2618368 3272960 6545920 13091840