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116522016 = 25313731279
BaseRepresentation
bin1101111000111…
…11110000100000
322010020221011020
412330133300200
5214312201031
615321245440
72613264222
oct674376040
9263227136
10116522016
115a856796
1233033880
131b1a9b50
1411692412
15a36a096
hex6f1fc20

116522016 has 96 divisors (see below), whose sum is σ = 334172160. Its totient is φ = 35334144.

The previous prime is 116522009. The next prime is 116522039. The reversal of 116522016 is 610225611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90465 + ... + 91743.

It is an arithmetic number, because the mean of its divisors is an integer number (3480960).

Almost surely, 2116522016 is an apocalyptic number.

116522016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167086080).

116522016 is an abundant number, since it is smaller than the sum of its proper divisors (217650144).

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

116522016 is a wasteful number, since it uses less digits than its factorization.

116522016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 116522016 is about 10794.5363957884. The cubic root of 116522016 is about 488.4303737178.

Adding to 116522016 its reverse (610225611), we get a palindrome (726747627).

The spelling of 116522016 in words is "one hundred sixteen million, five hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 146 156 208 219 292 312 416 438 584 624 876 949 1168 1248 1279 1752 1898 2336 2558 2847 3504 3796 3837 5116 5694 7008 7592 7674 10232 11388 15184 15348 16627 20464 22776 30368 30696 33254 40928 45552 49881 61392 66508 91104 93367 99762 122784 133016 186734 199524 266032 280101 373468 399048 532064 560202 746936 798096 1120404 1213771 1493872 1596192 2240808 2427542 2987744 3641313 4481616 4855084 7282626 8963232 9710168 14565252 19420336 29130504 38840672 58261008 116522016