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13266240 = 2635131063
BaseRepresentation
bin110010100110…
…110101000000
3220221222212020
4302212311000
511344004430
61152201440
7220522041
oct62466500
926858766
1013266240
117541139
124539280
132996460
141a948c8
151270b10
hexca6d40

13266240 has 112 divisors (see below), whose sum is σ = 45403008. Its totient is φ = 3262464.

The previous prime is 13266229. The next prime is 13266257. The reversal of 13266240 is 4266231.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13266240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11949 + ... + 13011.

It is an arithmetic number, because the mean of its divisors is an integer number (405384).

Almost surely, 213266240 is an apocalyptic number.

13266240 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 13266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701504).

13266240 is an abundant number, since it is smaller than the sum of its proper divisors (32136768).

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

13266240 is a wasteful number, since it uses less digits than its factorization.

13266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13266240 is about 3642.2849970863. The cubic root of 13266240 is about 236.7278115724.

Subtracting from 13266240 its reverse (4266231), we obtain a palindrome (9000009).

The spelling of 13266240 in words is "thirteen million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1063 1248 1560 2080 2126 2496 3120 3189 4160 4252 5315 6240 6378 8504 10630 12480 12756 13819 15945 17008 21260 25512 27638 31890 34016 41457 42520 51024 55276 63780 68032 69095 82914 85040 102048 110552 127560 138190 165828 170080 204096 207285 221104 255120 276380 331656 340160 414570 442208 510240 552760 663312 829140 884416 1020480 1105520 1326624 1658280 2211040 2653248 3316560 4422080 6633120 13266240