Search a number
-
+
1168716032 = 28111732399
BaseRepresentation
bin100010110101001…
…0011000100000000
310000110010220222222
41011222103010000
54343142403112
6311545350212
740650631241
oct10552230400
93013126888
101168716032
1154a789720
12287498368
1315818cc63
14b1308cc8
156c90b372
hex45a93100

1168716032 has 72 divisors (see below), whose sum is σ = 2560723200. Its totient is φ = 527943680.

The previous prime is 1168716023. The next prime is 1168716047. The reversal of 1168716032 is 2306178611.

It is a junction number, because it is equal to n+sod(n) for n = 1168715983 and 1168716001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485969 + ... + 488367.

It is an arithmetic number, because the mean of its divisors is an integer number (35565600).

Almost surely, 21168716032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280361600).

1168716032 is an abundant number, since it is smaller than the sum of its proper divisors (1392007168).

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

1168716032 is a wasteful number, since it uses less digits than its factorization.

With its successor (1168716033) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2585).

With its successor (1168716033) it forms an eRAP, since the sums of their prime factors are consecutive (2599 and 2600).

1168716032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1168716032 is about 34186.4890270996. The cubic root of 1168716032 is about 1053.3426451490.

The spelling of 1168716032 in words is "one billion, one hundred sixty-eight million, seven hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 173 176 256 346 352 692 704 1384 1408 1903 2399 2768 2816 3806 4798 5536 7612 9596 11072 15224 19192 22144 26389 30448 38384 44288 52778 60896 76768 105556 121792 153536 211112 243584 307072 415027 422224 487168 614144 830054 844448 1660108 1688896 3320216 3377792 4565297 6640432 6755584 9130594 13280864 18261188 26561728 36522376 53123456 73044752 106246912 146089504 292179008 584358016 1168716032