Search a number
-
+
8880030 = 234519577
BaseRepresentation
bin100001110111…
…111110011110
3121201011010000
4201313332132
54233130110
6514155130
7135323205
oct41677636
917634100
108880030
115015775
122b82aa6
131abbb73
14127223c
15ba61c0
hex877f9e

8880030 has 80 divisors (see below), whose sum is σ = 25177680. Its totient is φ = 2239488.

The previous prime is 8880029. The next prime is 8880073. The reversal of 8880030 is 300888.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8879976 and 8880003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15102 + ... + 15678.

It is an arithmetic number, because the mean of its divisors is an integer number (314721).

Almost surely, 28880030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8880030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588840).

8880030 is an abundant number, since it is smaller than the sum of its proper divisors (16297650).

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

8880030 is a wasteful number, since it uses less digits than its factorization.

8880030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8880030 is about 2979.9379188164. The cubic root of 8880030 is about 207.0799942873.

The spelling of 8880030 in words is "eight million, eight hundred eighty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 577 810 855 1026 1154 1539 1710 1731 2565 2885 3078 3462 5130 5193 5770 7695 8655 10386 10963 15390 15579 17310 21926 25965 31158 32889 46737 51930 54815 65778 77895 93474 98667 109630 155790 164445 197334 233685 296001 328890 467370 493335 592002 888003 986670 1480005 1776006 2960010 4440015 8880030