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12989130 = 2357115623
BaseRepresentation
bin110001100011…
…001011001010
3220102220201220
4301203023022
511311123010
61142222510
7215256120
oct61431312
926386656
1012989130
117371a20
124424a36
1328ca29b
141a21910
151218970
hexc632ca

12989130 has 64 divisors (see below), whose sum is σ = 38873088. Its totient is φ = 2698560.

The previous prime is 12989117. The next prime is 12989131. The reversal of 12989130 is 3198921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12989091 and 12989100.

It is not an unprimeable number, because it can be changed into a prime (12989131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502 + ... + 5121.

It is an arithmetic number, because the mean of its divisors is an integer number (607392).

Almost surely, 212989130 is an apocalyptic number.

12989130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12989130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19436544).

12989130 is an abundant number, since it is smaller than the sum of its proper divisors (25883958).

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

12989130 is a wasteful number, since it uses less digits than its factorization.

12989130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 12989130 is about 3604.0435624448. The cubic root of 12989130 is about 235.0679145795.

It can be divided in two parts, 129891 and 30, that added together give a palindrome (129921).

The spelling of 12989130 in words is "twelve million, nine hundred eighty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 5623 11246 16869 28115 33738 39361 56230 61853 78722 84345 118083 123706 168690 185559 196805 236166 309265 371118 393610 432971 590415 618530 865942 927795 1180830 1298913 1855590 2164855 2597826 4329710 6494565 12989130