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13228040 = 2357217397
BaseRepresentation
bin110010011101…
…100000001000
3220220001110102
4302131200020
511341244130
61151304532
7220302500
oct62354010
926801412
1013228040
117515471
12451b148
132981c57
141a84a00
151264645
hexc9d808

13228040 has 96 divisors (see below), whose sum is σ = 36751320. Its totient is φ = 4257792.

The previous prime is 13228037. The next prime is 13228043. The reversal of 13228040 is 4082231.

It is an interprime number because it is at equal distance from previous prime (13228037) and next prime (13228043).

It can be written as a sum of positive squares in 4 ways, for example, as 12545764 + 682276 = 3542^2 + 826^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13228043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33122 + ... + 33518.

Almost surely, 213228040 is an apocalyptic number.

13228040 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 13228040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375660).

13228040 is an abundant number, since it is smaller than the sum of its proper divisors (23523280).

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

13228040 is a wasteful number, since it uses less digits than its factorization.

13228040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13228040 is about 3637.0372557894. The cubic root of 13228040 is about 236.5003747087.

The spelling of 13228040 in words is "thirteen million, two hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 397 476 490 595 680 794 833 952 980 1190 1588 1666 1960 1985 2380 2779 3176 3332 3970 4165 4760 5558 6664 6749 7940 8330 11116 13498 13895 15880 16660 19453 22232 26996 27790 33320 33745 38906 47243 53992 55580 67490 77812 94486 97265 111160 134980 155624 188972 194530 236215 269960 330701 377944 389060 472430 661402 778120 944860 1322804 1653505 1889720 2645608 3307010 6614020 13228040