Search a number
-
+
116682948 = 22326015393
BaseRepresentation
bin1101111010001…
…11000011000100
322010120002220200
412331013003010
5214332323243
615324530500
72614534344
oct675070304
9263502820
10116682948
115a956698
12330b0a30
131b235185
14116d4d24
15a39cad3
hex6f470c4

116682948 has 36 divisors (see below), whose sum is σ = 295494108. Its totient is φ = 38822400.

The previous prime is 116682947. The next prime is 116682953. The reversal of 116682948 is 849286611.

It can be written as a sum of positive squares in 2 ways, for example, as 105513984 + 11168964 = 10272^2 + 3342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1166829482 = 27229820707941408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116682947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18940 + ... + 24332.

Almost surely, 2116682948 is an apocalyptic number.

116682948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116682948 is an abundant number, since it is smaller than the sum of its proper divisors (178811160).

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

116682948 is a wasteful number, since it uses less digits than its factorization.

116682948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5999 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 116682948 is about 10801.9881503360. The cubic root of 116682948 is about 488.6551321508.

The spelling of 116682948 in words is "one hundred sixteen million, six hundred eighty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 601 1202 1803 2404 3606 5393 5409 7212 10786 10818 16179 21572 21636 32358 48537 64716 97074 194148 3241193 6482386 9723579 12964772 19447158 29170737 38894316 58341474 116682948