Search a number
-
+
1061311320 = 233252948087
BaseRepresentation
bin111111010000100…
…101001101011000
32201222001012102200
4333100211031120
54133143430240
6253151330200
735204666046
oct7720451530
92658035380
101061311320
114a509a9a3
12257520960
1313bb55c84
14a0d4b396
1563292930
hex3f425358

1061311320 has 48 divisors (see below), whose sum is σ = 3449262960. Its totient is φ = 283016256.

The previous prime is 1061311313. The next prime is 1061311327. The reversal of 1061311320 is 231131601.

1061311320 is a `hidden beast` number, since 10 + 613 + 11 + 32 + 0 = 666.

1061311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1061311313) and next prime (1061311327).

It is a super-2 number, since 2×10613113202 = 2252763435920284800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1061311293 and 1061311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061311327) 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, 1473684 + ... + 1474403.

It is an arithmetic number, because the mean of its divisors is an integer number (71859645).

Almost surely, 21061311320 is an apocalyptic number.

1061311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061311320 is an abundant number, since it is smaller than the sum of its proper divisors (2387951640).

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

1061311320 is a wasteful number, since it uses less digits than its factorization.

1061311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948104 (or 2948097 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1061311320 is about 32577.7734045775. The cubic root of 1061311320 is about 1020.0331015786.

Adding to 1061311320 its reverse (231131601), we get a palindrome (1292442921).

The spelling of 1061311320 in words is "one billion, sixty-one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2948087 5896174 8844261 11792348 14740435 17688522 23584696 26532783 29480870 35377044 44221305 53065566 58961740 70754088 88442610 106131132 117923480 132663915 176885220 212262264 265327830 353770440 530655660 1061311320