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116915260 = 22571131279
BaseRepresentation
bin1101111011111…
…11110000111100
322010222220120211
412331333300330
5214412242020
615333522204
72616522550
oct675776074
9263886524
10116915260
115aaa5190
12331a3364
131b2b6b37
1411755860
15a3e685a
hex6f7fc3c

116915260 has 144 divisors (see below), whose sum is σ = 320302080. Its totient is φ = 34819200.

The previous prime is 116915251. The next prime is 116915261. The reversal of 116915260 is 62519611.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116915261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1479901 + ... + 1479979.

It is an arithmetic number, because the mean of its divisors is an integer number (2224320).

Almost surely, 2116915260 is an apocalyptic number.

116915260 is a gapful number since it is divisible by the number (10) 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 116915260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160151040).

116915260 is an abundant number, since it is smaller than the sum of its proper divisors (203386820).

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

116915260 is a wasteful number, since it uses less digits than its factorization.

116915260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 116915260 is about 10812.7360089850. The cubic root of 116915260 is about 488.9792160542.

The spelling of 116915260 in words is "one hundred sixteen million, nine hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 79 110 124 140 154 155 158 217 220 308 310 316 341 385 395 434 553 620 682 770 790 868 869 961 1085 1106 1364 1540 1580 1705 1738 1922 2170 2212 2387 2449 2765 3410 3476 3844 4340 4345 4774 4805 4898 5530 6083 6727 6820 8690 9548 9610 9796 10571 11060 11935 12166 12245 13454 17143 17380 19220 21142 23870 24332 24490 26908 26939 30415 33635 34286 42284 47740 48980 52855 53878 60830 67270 68572 73997 75919 85715 105710 107756 121660 134540 134695 147994 151838 171430 188573 211420 269390 295988 303676 342860 369985 377146 379595 531433 538780 739970 754292 759190 835109 942865 1062866 1479940 1518380 1670218 1885730 2125732 2657165 3340436 3771460 4175545 5314330 5845763 8351090 10628660 11691526 16702180 23383052 29228815 58457630 116915260