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13232040 = 2335313557
BaseRepresentation
bin110010011110…
…011110101000
3220220020221120
4302132132220
511341411130
61151335240
7220320243
oct62363650
926806846
1013232040
117518478
124521520
132983a13
141a8625a
151265910
hexc9e7a8

13232040 has 64 divisors (see below), whose sum is σ = 40988160. Its totient is φ = 3413760.

The previous prime is 13232039. The next prime is 13232041. The reversal of 13232040 is 4023231.

It is an interprime number because it is at equal distance from previous prime (13232039) and next prime (13232041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13232041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1942 + ... + 5498.

It is an arithmetic number, because the mean of its divisors is an integer number (640440).

Almost surely, 213232040 is an apocalyptic number.

13232040 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 13232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494080).

13232040 is an abundant number, since it is smaller than the sum of its proper divisors (27756120).

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

13232040 is a wasteful number, since it uses less digits than its factorization.

13232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13232040 is about 3637.5871123590. The cubic root of 13232040 is about 236.5242105947.

Adding to 13232040 its reverse (4023231), we get a palindrome (17255271).

The spelling of 13232040 in words is "thirteen million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3557 3720 7114 10671 14228 17785 21342 28456 35570 42684 53355 71140 85368 106710 110267 142280 213420 220534 330801 426840 441068 551335 661602 882136 1102670 1323204 1654005 2205340 2646408 3308010 4410680 6616020 13232040