Search a number
-
+
1300893012 = 223246797723
BaseRepresentation
bin100110110001010…
…0000110101010100
310100122212012201200
41031202200311110
510131012034022
6333030352500
744144256666
oct11542406524
93318765650
101300893012
116083581a1
123037bb730
1317968b5a3
14c4ab4536
1579319bac
hex4d8a0d54

1300893012 has 36 divisors (see below), whose sum is σ = 3289497120. Its totient is φ = 433482192.

The previous prime is 1300892993. The next prime is 1300893031. The reversal of 1300893012 is 2103980031.

It is an interprime number because it is at equal distance from previous prime (1300892993) and next prime (1300893031).

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

It is a super-3 number, since 3×13008930123 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164583 + ... + 172305.

It is an arithmetic number, because the mean of its divisors is an integer number (91374920).

Almost surely, 21300893012 is an apocalyptic number.

1300893012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1300893012 is an abundant number, since it is smaller than the sum of its proper divisors (1988604108).

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

1300893012 is a wasteful number, since it uses less digits than its factorization.

1300893012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 12407 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1300893012 is about 36067.8944769445. The cubic root of 1300893012 is about 1091.6427302044.

The spelling of 1300893012 in words is "one billion, three hundred million, eight hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4679 7723 9358 14037 15446 18716 23169 28074 30892 42111 46338 56148 69507 84222 92676 139014 168444 278028 36135917 72271834 108407751 144543668 216815502 325223253 433631004 650446506 1300893012