[go: up one dir, main page]

Search a number
-
+
13021380 = 2232572341
BaseRepresentation
bin110001101011…
…000011000100
3220111112222100
4301223003010
511313141010
61143032100
7215452131
oct61530304
926445870
1013021380
117394179
12443b630
13290bb78
141a2d588
1512232c0
hexc6b0c4

13021380 has 36 divisors (see below), whose sum is σ = 39498732. Its totient is φ = 3472320.

The previous prime is 13021367. The next prime is 13021387. The reversal of 13021380 is 8312031.

It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 4588164 = 2904^2 + 2142^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13021387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35991 + ... + 36350.

It is an arithmetic number, because the mean of its divisors is an integer number (1097187).

Almost surely, 213021380 is an apocalyptic number.

13021380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021380 is an abundant number, since it is smaller than the sum of its proper divisors (26477352).

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

13021380 is a wasteful number, since it uses less digits than its factorization.

13021380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72356 (or 72351 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13021380 is about 3608.5149299954. The cubic root of 13021380 is about 235.2622995456.

The spelling of 13021380 in words is "thirteen million, twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72341 144682 217023 289364 361705 434046 651069 723410 868092 1085115 1302138 1446820 2170230 2604276 3255345 4340460 6510690 13021380