Search a number
-
+
116958464 = 28765267
BaseRepresentation
bin1101111100010…
…10010100000000
322011002002211222
412332022110000
5214420132324
615334454212
72620062530
oct676122400
9264062758
10116958464
1160024697
1233204368
131b3006bc
14117674c0
15a40455e
hex6f8a500

116958464 has 36 divisors (see below), whose sum is σ = 266815584. Its totient is φ = 50124288.

The previous prime is 116958461. The next prime is 116958481. The reversal of 116958464 is 464859611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116958461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30842 + ... + 34425.

It is an arithmetic number, because the mean of its divisors is an integer number (7411544).

Almost surely, 2116958464 is an apocalyptic number.

116958464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

116958464 is an abundant number, since it is smaller than the sum of its proper divisors (149857120).

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

116958464 is an frugal number, since it uses more digits than its factorization.

116958464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65290 (or 65276 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 116958464 is about 10814.7336536782. The cubic root of 116958464 is about 489.0394398903.

The spelling of 116958464 in words is "one hundred sixteen million, nine hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 65267 130534 261068 456869 522136 913738 1044272 1827476 2088544 3654952 4177088 7309904 8354176 14619808 16708352 29239616 58479232 116958464