Search a number
-
+
8072768 = 261111467
BaseRepresentation
bin11110110010111001000000
3120012010202102
4132302321000
54031312033
6445005532
7125421524
oct36627100
916163672
108072768
114614210
1228538a8
1318985b2
141101d84
15a96de8
hex7b2e40

8072768 has 28 divisors (see below), whose sum is σ = 17477232. Its totient is φ = 3669120.

The previous prime is 8072761. The next prime is 8072791. The reversal of 8072768 is 8672708.

It is not an unprimeable number, because it can be changed into a prime (8072761) 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, 5030 + ... + 6437.

Almost surely, 28072768 is an apocalyptic number.

8072768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8072768 is an abundant number, since it is smaller than the sum of its proper divisors (9404464).

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

8072768 is a wasteful number, since it uses less digits than its factorization.

8072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11490 (or 11480 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 8072768 is about 2841.2616915730. The cubic root of 8072768 is about 200.6045706303.

The spelling of 8072768 in words is "eight million, seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 11467 22934 45868 91736 126137 183472 252274 366944 504548 733888 1009096 2018192 4036384 8072768