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13115040 = 253589307
BaseRepresentation
bin110010000001…
…111010100000
3220200022110020
4302001322200
511324140130
61145033440
7216322161
oct62017240
926608406
1013115040
117448584
124485880
1329426a3
141a55768
151240e10
hexc81ea0

13115040 has 96 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 3446784.

The previous prime is 13115023. The next prime is 13115087. The reversal of 13115040 is 4051131.

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

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

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, 42567 + ... + 42873.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 213115040 is an apocalyptic number.

13115040 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 13115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

13115040 is an abundant number, since it is smaller than the sum of its proper divisors (28797600).

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

13115040 is a wasteful number, since it uses less digits than its factorization.

13115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 13115040 is about 3621.4693150709. The cubic root of 13115040 is about 235.8250163202.

Adding to 13115040 its reverse (4051131), we get a palindrome (17166171).

The spelling of 13115040 in words is "thirteen million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 307 356 445 480 534 614 712 890 921 1068 1228 1335 1424 1535 1780 1842 2136 2456 2670 2848 3070 3560 3684 4272 4605 4912 5340 6140 7120 7368 8544 9210 9824 10680 12280 14240 14736 18420 21360 24560 27323 29472 36840 42720 49120 54646 73680 81969 109292 136615 147360 163938 218584 273230 327876 409845 437168 546460 655752 819690 874336 1092920 1311504 1639380 2185840 2623008 3278760 4371680 6557520 13115040