Search a number
-
+
63131364 = 22321753649
BaseRepresentation
bin1111000011010…
…0111011100100
311101210101221200
43300310323210
5112130200424
610133042500
71364415312
oct360647344
9141711850
1063131364
11326aa58a
1219186430
131010534a
1485550b2
1558208c9
hex3c34ee4

63131364 has 18 divisors (see below), whose sum is σ = 159582150. Its totient is φ = 21043776.

The previous prime is 63131329. The next prime is 63131399. The reversal of 63131364 is 46313136.

It is an interprime number because it is at equal distance from previous prime (63131329) and next prime (63131399).

It can be written as a sum of positive squares in only one way, i.e., 36505764 + 26625600 = 6042^2 + 5160^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 876789 + ... + 876860.

It is an arithmetic number, because the mean of its divisors is an integer number (8865675).

Almost surely, 263131364 is an apocalyptic number.

It is an amenable number.

63131364 is an abundant number, since it is smaller than the sum of its proper divisors (96450786).

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

63131364 is a wasteful number, since it uses less digits than its factorization.

63131364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753659 (or 1753654 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 63131364 is about 7945.5247781377. The cubic root of 63131364 is about 398.1820922111.

The spelling of 63131364 in words is "sixty-three million, one hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1753649 3507298 5260947 7014596 10521894 15782841 21043788 31565682 63131364