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116920890 = 23255997227
BaseRepresentation
bin1101111100000…
…01001000111010
322011000012022100
412332001020322
5214412432030
615334004230
72616545142
oct676011072
9264005270
10116920890
115aaa9439
12331a6676
131b2b9578
1411757922
15a3e8360
hex6f8123a

116920890 has 96 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 30200832.

The previous prime is 116920789. The next prime is 116920897. The reversal of 116920890 is 98029611.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116920897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514957 + ... + 515183.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2116920890 is an apocalyptic number.

116920890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116920890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

116920890 is an abundant number, since it is smaller than the sum of its proper divisors (196788870).

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

116920890 is a wasteful number, since it uses less digits than its factorization.

116920890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 116920890 is about 10812.9963469891. The cubic root of 116920890 is about 488.9870647839.

The spelling of 116920890 in words is "one hundred sixteen million, nine hundred twenty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 97 118 177 194 227 291 295 354 454 485 531 582 590 681 873 885 970 1062 1135 1362 1455 1746 1770 2043 2270 2655 2910 3405 4086 4365 5310 5723 6810 8730 10215 11446 13393 17169 20430 22019 26786 28615 34338 40179 44038 51507 57230 66057 66965 80358 85845 103014 110095 120537 132114 133930 171690 198171 200895 220190 241074 257535 330285 396342 401790 515070 602685 660570 990855 1205370 1299121 1981710 2598242 3897363 6495605 7794726 11692089 12991210 19486815 23384178 38973630 58460445 116920890