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13193145 = 335723607
BaseRepresentation
bin110010010100…
…111110111001
3220211021121000
4302110332321
511334140040
61150435213
7220065660
oct62247671
926737530
1013193145
1174a1229
124502b09
13296c0c4
141a75dd7
151259130
hexc94fb9

13193145 has 64 divisors (see below), whose sum is σ = 28016640. Its totient is φ = 5759424.

The previous prime is 13193143. The next prime is 13193161. The reversal of 13193145 is 54139131.

13193145 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13193145 - 21 = 13193143 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13193143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21432 + ... + 22038.

It is an arithmetic number, because the mean of its divisors is an integer number (437760).

Almost surely, 213193145 is an apocalyptic number.

13193145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13193145 is an abundant number, since it is smaller than the sum of its proper divisors (14823495).

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

13193145 is a wasteful number, since it uses less digits than its factorization.

13193145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 13193145 is about 3632.2369140793. The cubic root of 13193145 is about 236.2922323090.

The spelling of 13193145 in words is "thirteen million, one hundred ninety-three thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 607 621 805 945 1035 1449 1821 2415 3035 3105 4249 4347 5463 7245 9105 12747 13961 16389 21245 21735 27315 38241 41883 63735 69805 81945 97727 114723 125649 191205 209415 293181 376947 488635 573615 628245 879543 1465905 1884735 2638629 4397715 13193145