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116709984 = 25365003
BaseRepresentation
bin1101111010011…
…01101001100000
322010121111000000
412331031221200
5214334204414
615325300000
72615006226
oct675155140
9263544000
10116709984
115a974a36
1233104600
131b244581
1411700b16
15a3a5b09
hex6f4da60

116709984 has 84 divisors (see below), whose sum is σ = 344570436. Its totient is φ = 38895552.

The previous prime is 116709961. The next prime is 116710001. The reversal of 116709984 is 489907611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 20827 + ... + 25829.

It is an arithmetic number, because the mean of its divisors is an integer number (4102029).

Almost surely, 2116709984 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 116709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172285218).

116709984 is an abundant number, since it is smaller than the sum of its proper divisors (227860452).

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

116709984 is an frugal number, since it uses more digits than its factorization.

116709984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5008 counting only the distinct ones).

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

The square root of 116709984 is about 10803.2395141457. The cubic root of 116709984 is about 488.6928704840.

The spelling of 116709984 in words is "one hundred sixteen million, seven hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5003 5832 7776 10006 11664 15009 20012 23328 30018 40024 45027 60036 80048 90054 120072 135081 160096 180108 240144 270162 360216 405243 480288 540324 720432 810486 1080648 1215729 1440864 1620972 2161296 2431458 3241944 3647187 4322592 4862916 6483888 7294374 9725832 12967776 14588748 19451664 29177496 38903328 58354992 116709984