Search a number
-
+
8041530 = 2357149257
BaseRepresentation
bin11110101011010000111010
3120010112220110
4132223100322
54024312110
6444205150
7125231460
oct36532072
916115813
108041530
1145a27a2
1228397b6
131887303
1410d4830
15a8ca20
hex7ab43a

8041530 has 64 divisors (see below), whose sum is σ = 22291200. Its totient is φ = 1818624.

The previous prime is 8041511. The next prime is 8041547. The reversal of 8041530 is 351408.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8041497 and 8041506.

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 31 ways as a sum of consecutive naturals, for example, 31162 + ... + 31418.

It is an arithmetic number, because the mean of its divisors is an integer number (348300).

Almost surely, 28041530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8041530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145600).

8041530 is an abundant number, since it is smaller than the sum of its proper divisors (14249670).

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

8041530 is a wasteful number, since it uses less digits than its factorization.

8041530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8041530 is about 2835.7591576155. The cubic root of 8041530 is about 200.3454861862.

Adding to 8041530 its reverse (351408), we get a palindrome (8392938).

The spelling of 8041530 in words is "eight million, forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 257 298 447 514 745 771 894 1043 1285 1490 1542 1799 2086 2235 2570 3129 3598 3855 4470 5215 5397 6258 7710 8995 10430 10794 15645 17990 26985 31290 38293 53970 76586 114879 191465 229758 268051 382930 536102 574395 804153 1148790 1340255 1608306 2680510 4020765 8041530