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13302126 = 23217291499
BaseRepresentation
bin110010101111…
…100101101110
3221000211002100
4302233211232
511401132001
61153035530
7221031465
oct62574556
927024070
1013302126
1175660a2
124555ba6
1329a98a6
141aa39dc
15127b586
hexcaf96e

13302126 has 48 divisors (see below), whose sum is σ = 31590000. Its totient is φ = 4026624.

The previous prime is 13302103. The next prime is 13302127. The reversal of 13302126 is 62120331.

It is a super-2 number, since 2×133021262 = 353893112239752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13302099 and 13302108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8125 + ... + 9623.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 213302126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795000).

13302126 is an abundant number, since it is smaller than the sum of its proper divisors (18287874).

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

13302126 is a wasteful number, since it uses less digits than its factorization.

13302126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13302126 is about 3647.2079732310. The cubic root of 13302126 is about 236.9410738510.

Adding to 13302126 its reverse (62120331), we get a palindrome (75422457).

The spelling of 13302126 in words is "thirteen million, three hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 1499 2958 2998 4437 4497 8874 8994 13491 25483 26982 43471 50966 76449 86942 130413 152898 229347 260826 391239 458694 739007 782478 1478014 2217021 4434042 6651063 13302126