Search a number
-
+
8012280 = 2335232903
BaseRepresentation
bin11110100100000111111000
3120002001210010
4132210013320
54022343110
6443421520
7125050263
oct36440770
916061703
108012280
114582821
1228248a0
131876bc3
1410c7cda
15a84020
hex7a41f8

8012280 has 64 divisors (see below), whose sum is σ = 25090560. Its totient is φ = 2043008.

The previous prime is 8012269. The next prime is 8012299. The reversal of 8012280 is 822108.

8012280 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (392040).

Almost surely, 28012280 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 8012280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545280).

8012280 is an abundant number, since it is smaller than the sum of its proper divisors (17078280).

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

8012280 is a wasteful number, since it uses less digits than its factorization.

8012280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8012280 is about 2830.5971101518. The cubic root of 8012280 is about 200.1022810174.

Adding to 8012280 its reverse (822108), we get a palindrome (8834388).

It can be divided in two parts, 801 and 2280, that added together give a triangular number (3081 = T78).

The spelling of 8012280 in words is "eight million, twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 2903 5806 8709 11612 14515 17418 23224 29030 34836 43545 58060 66769 69672 87090 116120 133538 174180 200307 267076 333845 348360 400614 534152 667690 801228 1001535 1335380 1602456 2003070 2670760 4006140 8012280