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116784990 = 2345743479
BaseRepresentation
bin1101111010111…
…11111101011110
322010202021220000
412331133331132
5214344104430
615331035130
72615441010
oct675377536
9263667800
10116784990
115aa16323
123313baa6
131b26c75a
14117201b0
15a3bce60
hex6f5ff5e

116784990 has 160 divisors (see below), whose sum is σ = 367994880. Its totient is φ = 26018496.

The previous prime is 116784973. The next prime is 116785003. The reversal of 116784990 is 99487611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243571 + ... + 244049.

It is an arithmetic number, because the mean of its divisors is an integer number (2299968).

Almost surely, 2116784990 is an apocalyptic number.

116784990 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 116784990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183997440).

116784990 is an abundant number, since it is smaller than the sum of its proper divisors (251209890).

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

116784990 is a wasteful number, since it uses less digits than its factorization.

116784990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 116784990 is about 10806.7104152929. The cubic root of 116784990 is about 488.7975374732.

The spelling of 116784990 in words is "one hundred sixteen million, seven hundred eighty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 81 86 90 105 126 129 135 162 189 210 215 258 270 301 315 378 387 405 430 479 567 602 630 645 774 810 903 945 958 1134 1161 1290 1437 1505 1806 1890 1935 2322 2395 2709 2835 2874 3010 3353 3483 3870 4311 4515 4790 5418 5670 5805 6706 6966 7185 8127 8622 9030 10059 11610 12933 13545 14370 16254 16765 17415 20118 20597 21555 24381 25866 27090 30177 33530 34830 38799 40635 41194 43110 48762 50295 60354 61791 64665 77598 81270 90531 100590 102985 121905 123582 129330 144179 150885 181062 185373 193995 205970 243810 271593 288358 301770 308955 370746 387990 432537 452655 543186 556119 617910 720895 865074 905310 926865 1112238 1297611 1357965 1441790 1668357 1853730 2162685 2595222 2715930 2780595 3336714 3892833 4325370 5561190 6488055 7785666 8341785 11678499 12976110 16683570 19464165 23356998 38928330 58392495 116784990