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13193037 = 3411131767
BaseRepresentation
bin110010010100…
…111101001101
3220211021110000
4302110331031
511334134122
61150434513
7220065444
oct62247515
926737400
1013193037
1174a1140
124502a39
13296c040
141a75d5b
1512590ac
hexc94f4d

13193037 has 80 divisors (see below), whose sum is σ = 24881472. Its totient is φ = 6842880.

The previous prime is 13193029. The next prime is 13193069. The reversal of 13193037 is 73039131.

It is not a de Polignac number, because 13193037 - 23 = 13193029 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13193037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13193017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196878 + ... + 196944.

Almost surely, 213193037 is an apocalyptic number.

13193037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13193037 is a deficient number, since it is larger than the sum of its proper divisors (11688435).

13193037 is a wasteful number, since it uses less digits than its factorization.

13193037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 13193037 is about 3632.2220471772. Note that the first 3 decimals coincide. The cubic root of 13193037 is about 236.2915875390.

It can be divided in two parts, 1319 and 3037, that added together give a square (4356 = 662).

The spelling of 13193037 in words is "thirteen million, one hundred ninety-three thousand, thirty-seven".

Divisors: 1 3 9 11 13 17 27 33 39 51 67 81 99 117 143 153 187 201 221 297 351 429 459 561 603 663 737 871 891 1053 1139 1287 1377 1683 1809 1989 2211 2431 2613 3417 3861 5049 5427 5967 6633 7293 7839 9581 10251 11583 12529 14807 15147 17901 19899 21879 23517 28743 30753 37587 44421 59697 65637 70551 86229 92259 112761 133263 162877 196911 258687 338283 399789 488631 776061 1014849 1199367 1465893 4397679 13193037