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116838216 = 233211295087
BaseRepresentation
bin1101111011011…
…00111101001000
322010211222220100
412331230331020
5214402310331
615332125400
72616052125
oct675547510
9263758810
10116838216
115aa52310
1233166860
131b28aa51
141173574c
15a3cdae6
hex6f6cf48

116838216 has 96 divisors (see below), whose sum is σ = 357177600. Its totient is φ = 34177920.

The previous prime is 116838203. The next prime is 116838217. The reversal of 116838216 is 612838611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116838217) 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, 20425 + ... + 25511.

It is an arithmetic number, because the mean of its divisors is an integer number (3720600).

Almost surely, 2116838216 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 116838216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178588800).

116838216 is an abundant number, since it is smaller than the sum of its proper divisors (240339384).

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

116838216 is a wasteful number, since it uses less digits than its factorization.

116838216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5132 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116838216 is about 10809.1727713086. The cubic root of 116838216 is about 488.8717844184.

The spelling of 116838216 in words is "one hundred sixteen million, eight hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1044 1276 1914 2088 2552 2871 3828 5087 5742 7656 10174 11484 15261 20348 22968 30522 40696 45783 55957 61044 91566 111914 122088 147523 167871 183132 223828 295046 335742 366264 442569 447656 503613 590092 671484 885138 1007226 1180184 1327707 1342968 1622753 1770276 2014452 2655414 3245506 3540552 4028904 4868259 5310828 6491012 9736518 10621656 12982024 14604777 19473036 29209554 38946072 58419108 116838216