[go: up one dir, main page]

Search a number
-
+
8313280 = 26583313
BaseRepresentation
bin11111101101100111000000
3120122100200021
4133231213000
54112011110
6454103224
7130442653
oct37554700
916570607
108313280
114768988
12294ab14
131950c01
14116589a
15ae32da
hex7ed9c0

8313280 has 56 divisors (see below), whose sum is σ = 20098512. Its totient is φ = 3274752.

The previous prime is 8313269. The next prime is 8313353. The reversal of 8313280 is 823138.

It is a super-2 number, since 2×83132802 = 138221248716800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26404 + ... + 26716.

It is an arithmetic number, because the mean of its divisors is an integer number (358902).

Almost surely, 28313280 is an apocalyptic number.

8313280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049256).

8313280 is an abundant number, since it is smaller than the sum of its proper divisors (11785232).

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

8313280 is a wasteful number, since it uses less digits than its factorization.

8313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8313280 is about 2883.2759146499. The cubic root of 8313280 is about 202.5773113325.

The spelling of 8313280 in words is "eight million, three hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 313 320 332 415 626 664 830 1252 1328 1565 1660 2504 2656 3130 3320 5008 5312 6260 6640 10016 12520 13280 20032 25040 25979 26560 50080 51958 100160 103916 129895 207832 259790 415664 519580 831328 1039160 1662656 2078320 4156640 8313280