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116778780 = 223351712721
BaseRepresentation
bin1101111010111…
…10011100011100
322010201222101000
412331132130130
5214343410110
615330550300
72615413626
oct675363434
9263658330
10116778780
115aa11698
1233138390
131b269991
141171bc16
15a3bb1c0
hex6f5e71c

116778780 has 96 divisors (see below), whose sum is σ = 384713280. Its totient is φ = 29306880.

The previous prime is 116778773. The next prime is 116778793. The reversal of 116778780 is 87877611.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (4007430).

Almost surely, 2116778780 is an apocalyptic number.

116778780 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 116778780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192356640).

116778780 is an abundant number, since it is smaller than the sum of its proper divisors (267934500).

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

116778780 is a wasteful number, since it uses less digits than its factorization.

116778780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12756 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The square root of 116778780 is about 10806.4230899961. The cubic root of 116778780 is about 488.7888734417.

The spelling of 116778780 in words is "one hundred sixteen million, seven hundred seventy-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 12721 25442 38163 50884 63605 76326 114489 127210 152652 190815 216257 228978 254420 343467 381630 432514 457956 572445 648771 686934 763260 865028 1081285 1144890 1297542 1373868 1717335 1946313 2162570 2289780 2595084 3243855 3434670 3892626 4325140 5838939 6487710 6869340 7785252 9731565 11677878 12975420 19463130 23355756 29194695 38926260 58389390 116778780