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116790648 = 233133767151
BaseRepresentation
bin1101111011000…
…01010101111000
322010202120122120
412331201111320
5214344300043
615331121240
72615463342
oct675412570
9263676576
10116790648
115aa1a5a7
1233143220
131b2721c0
1411722292
15a3be983
hex6f61578

116790648 has 128 divisors (see below), whose sum is σ = 329925120. Its totient is φ = 34214400.

The previous prime is 116790631. The next prime is 116790659. The reversal of 116790648 is 846097611.

It is a super-3 number, since 3×1167906483 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773373 + ... + 773523.

It is an arithmetic number, because the mean of its divisors is an integer number (2577540).

Almost surely, 2116790648 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 116790648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164962560).

116790648 is an abundant number, since it is smaller than the sum of its proper divisors (213134472).

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

116790648 is a wasteful number, since it uses less digits than its factorization.

116790648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 116790648 is about 10806.9721939126. The cubic root of 116790648 is about 488.8054311012.

The spelling of 116790648 in words is "one hundred sixteen million, seven hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 67 74 78 104 111 134 148 151 156 201 222 268 296 302 312 402 444 453 481 536 604 804 871 888 906 962 1208 1443 1608 1742 1812 1924 1963 2479 2613 2886 3484 3624 3848 3926 4958 5226 5587 5772 5889 6968 7437 7852 9916 10117 10452 11174 11544 11778 14874 15704 16761 19832 20234 20904 22348 23556 29748 30351 32227 33522 40468 44696 47112 59496 60702 64454 67044 72631 80936 96681 121404 128908 131521 134088 145262 193362 217893 242808 257816 263042 290524 374329 386724 394563 435786 526084 581048 748658 773448 789126 871572 1052168 1122987 1497316 1578252 1743144 2245974 2994632 3156504 4491948 4866277 8983896 9732554 14598831 19465108 29197662 38930216 58395324 116790648