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13069440 = 273252269
BaseRepresentation
bin110001110110…
…110010000000
3220120222220100
4301312302000
511321210230
61144042400
7216042216
oct61666200
926528810
1013069440
11741729a
124463400
1329279c7
141a42cb6
151232660
hexc76c80

13069440 has 96 divisors (see below), whose sum is σ = 45150300. Its totient is φ = 3483648.

The previous prime is 13069439. The next prime is 13069453. The reversal of 13069440 is 4496031.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 1617984 = 3384^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4626 + ... + 6894.

Almost surely, 213069440 is an apocalyptic number.

13069440 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 13069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22575150).

13069440 is an abundant number, since it is smaller than the sum of its proper divisors (32080860).

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

13069440 is a wasteful number, since it uses less digits than its factorization.

13069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13069440 is about 3615.1680458867. The cubic root of 13069440 is about 235.5513837058.

The spelling of 13069440 in words is "thirteen million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2269 2880 4538 5760 6807 9076 11345 13614 18152 20421 22690 27228 34035 36304 40842 45380 54456 68070 72608 81684 90760 102105 108912 136140 145216 163368 181520 204210 217824 272280 290432 326736 363040 408420 435648 544560 653472 726080 816840 871296 1089120 1306944 1452160 1633680 2178240 2613888 3267360 4356480 6534720 13069440