Search a number
-
+
8136040 = 235112412
BaseRepresentation
bin11111000010010101101000
3120022100112211
4133002111220
54040323130
6450214504
7126104143
oct37022550
916270484
108136040
114657800
122884434
1318bb333
14111b05a
15aaaa2a
hex7c2568

8136040 has 72 divisors (see below), whose sum is σ = 20624310. Its totient is φ = 2886400.

The previous prime is 8135983. The next prime is 8136053. The reversal of 8136040 is 406318.

It can be written as a sum of positive squares in 3 ways, for example, as 2172676 + 5963364 = 1474^2 + 2442^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 198420 + ... + 198460.

Almost surely, 28136040 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 8136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10312155).

8136040 is an abundant number, since it is smaller than the sum of its proper divisors (12488270).

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

8136040 is a wasteful number, since it uses less digits than its factorization.

8136040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 8136040 is about 2852.3744494719. The cubic root of 8136040 is about 201.1273006942.

The spelling of 8136040 in words is "eight million, one hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 242 328 410 440 451 484 605 820 902 968 1210 1640 1681 1804 2255 2420 3362 3608 4510 4840 4961 6724 8405 9020 9922 13448 16810 18040 18491 19844 24805 33620 36982 39688 49610 67240 73964 92455 99220 147928 184910 198440 203401 369820 406802 739640 813604 1017005 1627208 2034010 4068020 8136040