Search a number
-
+
68464080 = 2432595089
BaseRepresentation
bin1000001010010…
…10110111010000
311202211100001200
410011022313100
5120011322310
610443231200
71460635506
oct405126720
9152740050
1068464080
1135712093
121ab18500
13112516b9
149142676
1560259c0
hex414add0

68464080 has 60 divisors (see below), whose sum is σ = 229927620. Its totient is φ = 18256896.

The previous prime is 68464079. The next prime is 68464111. The reversal of 68464080 is 8046486.

68464080 is a `hidden beast` number, since 6 + 8 + 4 + 640 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52012944 + 16451136 = 7212^2 + 4056^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46825 + ... + 48264.

It is an arithmetic number, because the mean of its divisors is an integer number (3832127).

Almost surely, 268464080 is an apocalyptic number.

68464080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68464080 is an abundant number, since it is smaller than the sum of its proper divisors (161463540).

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

68464080 is a wasteful number, since it uses less digits than its factorization.

68464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95108 (or 95099 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68464080 is about 8274.3023875128. The cubic root of 68464080 is about 409.0919423543.

The spelling of 68464080 in words is "sixty-eight million, four hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 95089 190178 285267 380356 475445 570534 760712 855801 950890 1141068 1426335 1521424 1711602 1901780 2282136 2852670 3423204 3803560 4279005 4564272 5705340 6846408 7607120 8558010 11410680 13692816 17116020 22821360 34232040 68464080