[go: up one dir, main page]

Search a number
-
+
1300264002 = 23479101599
BaseRepresentation
bin100110110000000…
…0111010001000010
310100121200020220000
41031200013101002
510130331422002
6333005100430
744136030102
oct11540072102
93317606800
101300264002
11607a68654
12303557716
131794cb1ab
14c498d202
157924361c
hex4d807442

1300264002 has 40 divisors (see below), whose sum is σ = 2950464000. Its totient is φ = 427930776.

The previous prime is 1300263961. The next prime is 1300264019. The reversal of 1300264002 is 2004620031.

It is a happy number.

It is a super-3 number, since 3×13002640023 (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 38002 + ... + 63597.

It is an arithmetic number, because the mean of its divisors is an integer number (73761600).

Almost surely, 21300264002 is an apocalyptic number.

1300264002 is an abundant number, since it is smaller than the sum of its proper divisors (1650199998).

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

1300264002 is a wasteful number, since it uses less digits than its factorization.

1300264002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101692 (or 101683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300264002 is about 36059.1736178188. The cubic root of 1300264002 is about 1091.4667575231.

Adding to 1300264002 its reverse (2004620031), we get a palindrome (3304884033).

The spelling of 1300264002 in words is "one billion, three hundred million, two hundred sixty-four thousand, two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1422 2133 4266 6399 12798 101599 203198 304797 609594 914391 1828782 2743173 5486346 8026321 8229519 16052642 16459038 24078963 48157926 72236889 144473778 216710667 433421334 650132001 1300264002