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13195008 = 28332383
BaseRepresentation
bin110010010101…
…011100000000
3220211101011000
4302111130000
511334220013
61150452000
7220104261
oct62253400
926741130
1013195008
1174a2672
124504000
13296cbc8
141a76968
151259973
hexc95700

13195008 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 4156416.

The previous prime is 13195001. The next prime is 13195027. The reversal of 13195008 is 80059131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×131950082 = 348216472240128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13195001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158935 + ... + 159017.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 213195008 is an apocalyptic number.

13195008 is a gapful number since it is divisible by the number (18) 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 13195008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

13195008 is an abundant number, since it is smaller than the sum of its proper divisors (28012032).

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

13195008 is an equidigital number, since it uses as much as digits as its factorization.

13195008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13195008 is about 3632.4933585624. The cubic root of 13195008 is about 236.3033540369.

The spelling of 13195008 in words is "thirteen million, one hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 83 92 96 108 128 138 144 166 184 192 207 216 249 256 276 288 332 368 384 414 432 498 552 576 621 664 736 747 768 828 864 996 1104 1152 1242 1328 1472 1494 1656 1728 1909 1992 2208 2241 2304 2484 2656 2944 2988 3312 3456 3818 3984 4416 4482 4968 5312 5727 5888 5976 6624 6912 7636 7968 8832 8964 9936 10624 11454 11952 13248 15272 15936 17181 17664 17928 19872 21248 22908 23904 26496 30544 31872 34362 35856 39744 45816 47808 51543 52992 61088 63744 68724 71712 79488 91632 95616 103086 122176 137448 143424 158976 183264 191232 206172 244352 274896 286848 366528 412344 488704 549792 573696 733056 824688 1099584 1466112 1649376 2199168 3298752 4398336 6597504 13195008