Search a number
-
+
8130556 = 22717192931
BaseRepresentation
bin11111000000111111111100
3120022002000201
4133000333330
54040134211
6450133244
7126052150
oct37007774
916262021
108130556
114653675
122881224
1318b89a5
141119060
15aa90c1
hex7c0ffc

8130556 has 96 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 2903040.

The previous prime is 8130553. The next prime is 8130581. The reversal of 8130556 is 6550318.

It is a super-2 number, since 2×81305562 = 132211881738272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262261 + ... + 262291.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 28130556 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 8130556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

8130556 is an abundant number, since it is smaller than the sum of its proper divisors (11223044).

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

8130556 is a wasteful number, since it uses less digits than its factorization.

8130556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 8130556 is about 2851.4129830665. The cubic root of 8130556 is about 201.0821013906.

Subtracting from 8130556 its sum of digits (28), we obtain a triangular number (8130528 = T4032).

The spelling of 8130556 in words is "eight million, one hundred thirty thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 17 19 28 29 31 34 38 58 62 68 76 116 119 124 133 203 217 238 266 323 406 434 476 493 527 532 551 589 646 812 868 899 986 1054 1102 1178 1292 1798 1972 2108 2204 2261 2356 3451 3596 3689 3857 4123 4522 6293 6902 7378 7714 8246 9044 9367 10013 12586 13804 14756 15283 15428 16492 17081 18734 20026 25172 30566 34162 37468 40052 61132 65569 68324 70091 106981 119567 131138 140182 213962 239134 262276 280364 290377 427924 478268 580754 1161508 2032639 4065278 8130556