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116201376 = 25322913913
BaseRepresentation
bin1101110110100…
…01011110100000
322002122122022200
412323101132200
5214221421001
615310333200
72610460344
oct673213640
9262578280
10116201376
115a6578a5
1232aba200
131b0c6c15
141160b624
15a305086
hex6ed17a0

116201376 has 72 divisors (see below), whose sum is σ = 341866980. Its totient is φ = 37395456.

The previous prime is 116201357. The next prime is 116201381. The reversal of 116201376 is 673102611.

116201376 is a `hidden beast` number, since 1 + 1 + 620 + 1 + 37 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115347600 + 853776 = 10740^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1396 + ... + 15308.

Almost surely, 2116201376 is an apocalyptic number.

116201376 is a gapful number since it is divisible by the number (16) 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 116201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170933490).

116201376 is an abundant number, since it is smaller than the sum of its proper divisors (225665604).

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

116201376 is a wasteful number, since it uses less digits than its factorization.

116201376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13958 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 116201376 is about 10779.6742065797. The cubic root of 116201376 is about 487.9819486291.

Adding to 116201376 its reverse (673102611), we get a palindrome (789303987).

It can be divided in two parts, 11620 and 1376, that added together give a square (12996 = 1142).

The spelling of 116201376 in words is "one hundred sixteen million, two hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 13913 27826 41739 55652 83478 111304 125217 166956 222608 250434 333912 403477 445216 500868 667824 806954 1001736 1210431 1335648 1613908 2003472 2420862 3227816 3631293 4006944 4841724 6455632 7262586 9683448 12911264 14525172 19366896 29050344 38733792 58100688 116201376