[go: up one dir, main page]

Search a number
-
+
12944580 = 22351121783
BaseRepresentation
bin110001011000…
…010011000100
3220100122121220
4301120103010
511303211310
61141240340
7215012205
oct61302304
926318556
1012944580
117341500
1244030b0
1328b2c1c
141a0d5ac
15120a670
hexc584c4

12944580 has 72 divisors (see below), whose sum is σ = 39861696. Its totient is φ = 3136320.

The previous prime is 12944573. The next prime is 12944587. The reversal of 12944580 is 8544921.

It is an interprime number because it is at equal distance from previous prime (12944573) and next prime (12944587).

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

It is not an unprimeable number, because it can be changed into a prime (12944587) 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, 6369 + ... + 8151.

Almost surely, 212944580 is an apocalyptic number.

12944580 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 12944580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19930848).

12944580 is an abundant number, since it is smaller than the sum of its proper divisors (26917116).

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

12944580 is a wasteful number, since it uses less digits than its factorization.

12944580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12944580 is about 3597.8576959074. The cubic root of 12944580 is about 234.7988621479.

The spelling of 12944580 in words is "twelve million, nine hundred forty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1783 1815 2420 3566 3630 5349 7132 7260 8915 10698 17830 19613 21396 26745 35660 39226 53490 58839 78452 98065 106980 117678 196130 215743 235356 294195 392260 431486 588390 647229 862972 1078715 1176780 1294458 2157430 2588916 3236145 4314860 6472290 12944580