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116413220 = 225721110799
BaseRepresentation
bin1101111000001…
…01001100100100
322010001101220202
412330011030210
5214300210340
615315050032
72612332100
oct674051444
9263041822
10116413220
115a791a80
1232ba0918
131b16c481
1411664900
15a347c15
hex6f05324

116413220 has 72 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 36281280.

The previous prime is 116413217. The next prime is 116413223. The reversal of 116413220 is 22314611.

It is an interprime number because it is at equal distance from previous prime (116413217) and next prime (116413223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 116413192 and 116413201.

It is not an unprimeable number, because it can be changed into a prime (116413223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5381 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2116413220 is an apocalyptic number.

116413220 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 116413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

116413220 is an abundant number, since it is smaller than the sum of its proper divisors (193849180).

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

116413220 is a wasteful number, since it uses less digits than its factorization.

116413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10833 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 116413220 is about 10789.4958176923. The cubic root of 116413220 is about 488.2783114153.

Adding to 116413220 its reverse (22314611), we get a palindrome (138727831).

The spelling of 116413220 in words is "one hundred sixteen million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 10799 21598 43196 53995 75593 107990 118789 151186 215980 237578 302372 377965 475156 529151 593945 755930 831523 1058302 1187890 1511860 1663046 2116604 2375780 2645755 3326092 4157615 5291510 5820661 8315230 10583020 11641322 16630460 23282644 29103305 58206610 116413220