[go: up one dir, main page]

Search a number
-
+
13147008 = 27376773
BaseRepresentation
bin110010001001…
…101110000000
3220201221022020
4302021232000
511331201013
61145441440
7216514320
oct62115600
926657266
1013147008
11746a5a6
1244a0280
1329540c4
141a63280
15124a623
hexc89b80

13147008 has 128 divisors (see below), whose sum is σ = 41061120. Its totient is φ = 3649536.

The previous prime is 13147003. The next prime is 13147009. The reversal of 13147008 is 80074131.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180060 + ... + 180132.

It is an arithmetic number, because the mean of its divisors is an integer number (320790).

Almost surely, 213147008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530560).

13147008 is an abundant number, since it is smaller than the sum of its proper divisors (27914112).

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

13147008 is an equidigital number, since it uses as much as digits as its factorization.

13147008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

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

The square root of 13147008 is about 3625.8803069048. The cubic root of 13147008 is about 236.0164692136.

The spelling of 13147008 in words is "thirteen million, one hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 73 84 96 112 128 134 146 168 192 201 219 224 268 292 336 384 402 438 448 469 511 536 584 672 804 876 896 938 1022 1072 1168 1344 1407 1533 1608 1752 1876 2044 2144 2336 2688 2814 3066 3216 3504 3752 4088 4288 4672 4891 5628 6132 6432 7008 7504 8176 8576 9344 9782 11256 12264 12864 14016 14673 15008 16352 19564 22512 24528 25728 28032 29346 30016 32704 34237 39128 45024 49056 58692 60032 65408 68474 78256 90048 98112 102711 117384 136948 156512 180096 196224 205422 234768 273896 313024 410844 469536 547792 626048 821688 939072 1095584 1643376 1878144 2191168 3286752 4382336 6573504 13147008