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13195520 = 28513261
BaseRepresentation
bin110010010101…
…100100000000
3220211101211222
4302111210000
511334224040
61150454212
7220105622
oct62254400
926741758
1013195520
1174a2a98
124504368
132970200
141a76c12
151259bb5
hexc95900

13195520 has 108 divisors (see below), whose sum is σ = 34786836. Its totient is φ = 4792320.

The previous prime is 13195517. The next prime is 13195529. The reversal of 13195520 is 2559131.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 6885376 = 2512^2 + 2624^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13195520.

It is not an unprimeable number, because it can be changed into a prime (13195529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216290 + ... + 216350.

Almost surely, 213195520 is an apocalyptic number.

13195520 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 13195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393418).

13195520 is an abundant number, since it is smaller than the sum of its proper divisors (21591316).

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

13195520 is an equidigital number, since it uses as much as digits as its factorization.

13195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 13195520 is about 3632.5638328872. The cubic root of 13195520 is about 236.3064103886.

The spelling of 13195520 in words is "thirteen million, one hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 128 130 160 169 208 244 256 260 305 320 338 416 488 520 610 640 676 793 832 845 976 1040 1220 1280 1352 1586 1664 1690 1952 2080 2440 2704 3172 3328 3380 3904 3965 4160 4880 5408 6344 6760 7808 7930 8320 9760 10309 10816 12688 13520 15616 15860 16640 19520 20618 21632 25376 27040 31720 39040 41236 43264 50752 51545 54080 63440 78080 82472 101504 103090 108160 126880 164944 203008 206180 216320 253760 329888 412360 507520 659776 824720 1015040 1319552 1649440 2639104 3298880 6597760 13195520