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13155840 = 29325571
BaseRepresentation
bin110010001011…
…111000000000
3220202101102100
4302023320000
511331441330
61145550400
7216552135
oct62137000
926671370
1013155840
1174761a5
1244a5400
132958129
141a6658c
15124d060
hexc8be00

13155840 has 120 divisors (see below), whose sum is σ = 45642168. Its totient is φ = 3502080.

The previous prime is 13155827. The next prime is 13155851. The reversal of 13155840 is 4855131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×131558402 = 346152252211200, which contains 22 as substring.

It is a congruent number.

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, 22755 + ... + 23325.

Almost surely, 213155840 is an apocalyptic number.

13155840 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 13155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821084).

13155840 is an abundant number, since it is smaller than the sum of its proper divisors (32486328).

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

13155840 is an equidigital number, since it uses as much as digits as its factorization.

13155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13155840 is about 3627.0980135640. The cubic root of 13155840 is about 236.0693083805.

The spelling of 13155840 in words is "thirteen million, one hundred fifty-five thousand, eight 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 571 576 640 720 768 960 1142 1152 1280 1440 1536 1713 1920 2284 2304 2560 2855 2880 3426 3840 4568 4608 5139 5710 5760 6852 7680 8565 9136 10278 11420 11520 13704 17130 18272 20556 22840 23040 25695 27408 34260 36544 41112 45680 51390 54816 68520 73088 82224 91360 102780 109632 137040 146176 164448 182720 205560 219264 274080 292352 328896 365440 411120 438528 548160 657792 730880 822240 877056 1096320 1315584 1461760 1644480 2192640 2631168 3288960 4385280 6577920 13155840