Search a number
-
+
8260080 = 2435127271
BaseRepresentation
bin11111100000100111110000
3120112122200220
4133200213300
54103310310
6453013040
7130131603
oct37404760
916478626
108260080
114731a14
122924180
13193292a
14115033a
15ad2670
hex7e09f0

8260080 has 80 divisors (see below), whose sum is σ = 25903104. Its totient is φ = 2177280.

The previous prime is 8260073. The next prime is 8260097. The reversal of 8260080 is 800628.

8260080 is a nontrivial binomial coefficient, being equal to C(4065, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8260080.

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, 30345 + ... + 30615.

Almost surely, 28260080 is an apocalyptic number.

8260080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8260080 is the 4064-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951552).

8260080 is an abundant number, since it is smaller than the sum of its proper divisors (17643024).

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

8260080 is a wasteful number, since it uses less digits than its factorization.

8260080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8260080 is about 2874.0354903863. The cubic root of 8260080 is about 202.1442618798.

The spelling of 8260080 in words is "eight million, two hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 271 381 508 542 635 762 813 1016 1084 1270 1355 1524 1626 1905 2032 2168 2540 2710 3048 3252 3810 4065 4336 5080 5420 6096 6504 7620 8130 10160 10840 13008 15240 16260 21680 30480 32520 34417 65040 68834 103251 137668 172085 206502 275336 344170 413004 516255 550672 688340 826008 1032510 1376680 1652016 2065020 2753360 4130040 8260080