Search a number
-
+
7126056 = 233471571
BaseRepresentation
bin11011001011110000101000
3111102001010000
4123023300220
53311013211
6412423000
7114366450
oct33136050
914361100
107126056
114027a03
122477a60
131626702
14d36d60
1595b656
hex6cbc28

7126056 has 80 divisors (see below), whose sum is σ = 22825440. Its totient is φ = 2034720.

The previous prime is 7125983. The next prime is 7126069. The reversal of 7126056 is 6506217.

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

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 19 ways as a sum of consecutive naturals, for example, 3751 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (285318).

Almost surely, 27126056 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 7126056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412720).

7126056 is an abundant number, since it is smaller than the sum of its proper divisors (15699384).

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

7126056 is a wasteful number, since it uses less digits than its factorization.

7126056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7126056 is about 2669.4673626025. The cubic root of 7126056 is about 192.4345625672.

The spelling of 7126056 in words is "seven million, one hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 1571 2268 3142 4536 4713 6284 9426 10997 12568 14139 18852 21994 28278 32991 37704 42417 43988 56556 65982 84834 87976 98973 113112 127251 131964 169668 197946 254502 263928 296919 339336 395892 509004 593838 791784 890757 1018008 1187676 1781514 2375352 3563028 7126056