Search a number
-
+
1051000056 = 23336772623
BaseRepresentation
bin111110101001001…
…111110011111000
32201020122100001000
4332221033303320
54123024000211
6252142325000
735021232051
oct7651176370
92636570030
101051000056
1149a297997
12253b89760
13139985832
149d825728
1562407656
hex3ea4fcf8

1051000056 has 64 divisors (see below), whose sum is σ = 2963059200. Its totient is φ = 345099744.

The previous prime is 1051000051. The next prime is 1051000079. The reversal of 1051000056 is 6500001501.

It is a super-2 number, since 2×10510000562 = 2209202235424006272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051000051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21840 + ... + 50783.

It is an arithmetic number, because the mean of its divisors is an integer number (46297800).

Almost surely, 21051000056 is an apocalyptic number.

It is an amenable number.

1051000056 is an abundant number, since it is smaller than the sum of its proper divisors (1912059144).

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

1051000056 is a wasteful number, since it uses less digits than its factorization.

1051000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72705 (or 72695 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1051000056 is about 32419.1310185822. The cubic root of 1051000056 is about 1016.7189380034.

Adding to 1051000056 its reverse (6500001501), we get a palindrome (7551001557).

The spelling of 1051000056 in words is "one billion, fifty-one million, fifty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 72623 145246 217869 290492 435738 580984 653607 871476 1307214 1742952 1960821 2614428 3921642 4865741 5228856 7843284 9731482 14597223 15686568 19462964 29194446 38925928 43791669 58388892 87583338 116777784 131375007 175166676 262750014 350333352 525500028 1051000056