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1072260729 = 321131054337
BaseRepresentation
bin111111111010010…
…110011001111001
32202201122111012100
4333322112121321
54143444320404
6254222134013
735400031401
oct7772263171
92681574170
101072260729
115002993a1
1225b121309
131411baa07
14a259b801
1564206d39
hex3fe96679

1072260729 has 12 divisors (see below), whose sum is σ = 1562528916. Its totient is φ = 708513792.

The previous prime is 1072260727. The next prime is 1072260751. The reversal of 1072260729 is 9270622701.

1072260729 is a `hidden beast` number, since 1 + 0 + 7 + 22 + 607 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 279725625 + 792535104 = 16725^2 + 28152^2 .

It is not a de Polignac number, because 1072260729 - 21 = 1072260727 is a prime.

It is a super-2 number, since 2×10722607292 = 2299486141911222882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1072260693 and 1072260702.

It is not an unprimeable number, because it can be changed into a prime (1072260727) 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, 526152 + ... + 528185.

It is an arithmetic number, because the mean of its divisors is an integer number (130210743).

Almost surely, 21072260729 is an apocalyptic number.

It is an amenable number.

1072260729 is a deficient number, since it is larger than the sum of its proper divisors (490268187).

1072260729 is a wasteful number, since it uses less digits than its factorization.

1072260729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054456 (or 1054453 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1072260729 is about 32745.3924850505. The cubic root of 1072260729 is about 1023.5289559305.

The spelling of 1072260729 in words is "one billion, seventy-two million, two hundred sixty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 113 339 1017 1054337 3163011 9489033 119140081 357420243 1072260729