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12999040 = 275191069
BaseRepresentation
bin110001100101…
…100110000000
3220110102022221
4301211212000
511311432130
61142340424
7215330035
oct61454600
926412287
1012999040
11737940a
12442a714
132901952
141a2538c
15121b87a
hexc65980

12999040 has 64 divisors (see below), whose sum is σ = 32742000. Its totient is φ = 4921344.

The previous prime is 12998987. The next prime is 12999043. The reversal of 12999040 is 4099921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12998987 and 12999005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12999043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11626 + ... + 12694.

Almost surely, 212999040 is an apocalyptic number.

12999040 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 12999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371000).

12999040 is an abundant number, since it is smaller than the sum of its proper divisors (19742960).

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

12999040 is a wasteful number, since it uses less digits than its factorization.

12999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 12999040 is about 3605.4181449591. The cubic root of 12999040 is about 235.1276807288.

The spelling of 12999040 in words is "twelve million, nine hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1069 1216 1520 2138 2432 3040 4276 5345 6080 8552 10690 12160 17104 20311 21380 34208 40622 42760 68416 81244 85520 101555 136832 162488 171040 203110 324976 342080 406220 649952 684160 812440 1299904 1624880 2599808 3249760 6499520 12999040