Search a number
-
+
68587936 = 2537531093
BaseRepresentation
bin1000001011010…
…01000110100000
311210001121221221
410011221012200
5120024303221
610450024424
71461662554
oct405510640
9153047857
1068587936
113579714a
121ab78114
1311295ba1
149175864
15604c541
hex41691a0

68587936 has 48 divisors (see below), whose sum is σ = 141427944. Its totient is φ = 32707584.

The previous prime is 68587921. The next prime is 68587991. The reversal of 68587936 is 63978586.

It can be written as a sum of positive squares in 4 ways, for example, as 63297936 + 5290000 = 7956^2 + 2300^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62206 + ... + 63298.

Almost surely, 268587936 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 68587936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70713972).

68587936 is an abundant number, since it is smaller than the sum of its proper divisors (72840008).

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

68587936 is a wasteful number, since it uses less digits than its factorization.

68587936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 68587936 is about 8281.7833828228. The cubic root of 68587936 is about 409.3384851062.

The spelling of 68587936 in words is "sixty-eight million, five hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1093 1184 1696 1961 2186 3922 4372 7844 8744 15688 17488 31376 34976 40441 57929 62752 80882 115858 161764 231716 323528 463432 647056 926864 1294112 1853728 2143373 4286746 8573492 17146984 34293968 68587936