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916087014 = 2321931711217
BaseRepresentation
bin110110100110100…
…110000011100110
32100211210001010200
4312212212003212
53334004241024
6230522531330
731462416423
oct6646460346
92324701120
10916087014
1143011a807
12216966b46
13117a39a2b
1489946d4a
15556582c9
hex369a60e6

916087014 has 96 divisors (see below), whose sum is σ = 2188892160. Its totient is φ = 275788800.

The previous prime is 916086991. The next prime is 916087049. The reversal of 916087014 is 410780619.

916087014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 916087014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752134 + ... + 753350.

It is an arithmetic number, because the mean of its divisors is an integer number (22800960).

Almost surely, 2916087014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916087014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094446080).

916087014 is an abundant number, since it is smaller than the sum of its proper divisors (1272805146).

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

916087014 is a wasteful number, since it uses less digits than its factorization.

916087014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 916087014 is about 30266.9293784487. The cubic root of 916087014 is about 971.2079802734.

The spelling of 916087014 in words is "nine hundred sixteen million, eighty-seven thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 71 93 114 142 171 186 213 279 342 426 558 589 639 1178 1217 1278 1349 1767 2201 2434 2698 3534 3651 4047 4402 5301 6603 7302 8094 10602 10953 12141 13206 19809 21906 23123 24282 37727 39618 41819 46246 69369 75454 83638 86407 113181 125457 138738 172814 208107 226362 250914 259221 339543 376371 416214 518442 679086 716813 752742 777663 1433626 1555326 1641733 2150439 2678617 3283466 4300878 4925199 5357234 6451317 8035851 9850398 12902634 14775597 16071702 24107553 29551194 48215106 50893723 101787446 152681169 305362338 458043507 916087014