[go: up one dir, main page]

Search a number
-
+
13147080 = 2335891231
BaseRepresentation
bin110010001001…
…101111001000
3220201221101220
4302021233020
511331201310
61145442040
7216514452
oct62115710
926657356
1013147080
11746a661
1244a0320
13295414b
141a632d2
15124a670
hexc89bc8

13147080 has 64 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 3463680.

The previous prime is 13147061. The next prime is 13147087. The reversal of 13147080 is 8074131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13147080.

It is not an unprimeable number, because it can be changed into a prime (13147087) 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 15 ways as a sum of consecutive naturals, for example, 10065 + ... + 11295.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 213147080 is an apocalyptic number.

13147080 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 13147080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

13147080 is an abundant number, since it is smaller than the sum of its proper divisors (26769720).

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

13147080 is a wasteful number, since it uses less digits than its factorization.

13147080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13147080 is about 3625.8902355146. The cubic root of 13147080 is about 236.0169000633.

The spelling of 13147080 in words is "thirteen million, one hundred forty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1231 1335 1780 2136 2462 2670 3560 3693 4924 5340 6155 7386 9848 10680 12310 14772 18465 24620 29544 36930 49240 73860 109559 147720 219118 328677 438236 547795 657354 876472 1095590 1314708 1643385 2191180 2629416 3286770 4382360 6573540 13147080