Search a number
-
+
1020209976 = 233231744699
BaseRepresentation
bin111100110011110…
…010101100111000
32122002201000222200
4330303302230320
54042133204401
6245122350200
734165433052
oct7463625470
92562630880
101020209976
11483977945
122457bb360
13133495056
14996cc8d2
155e874686
hex3ccf2b38

1020209976 has 48 divisors (see below), whose sum is σ = 2771847000. Its totient is φ = 338989632.

The previous prime is 1020209941. The next prime is 1020209987. The reversal of 1020209976 is 6799020201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1020209976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475 + ... + 45173.

Almost surely, 21020209976 is an apocalyptic number.

It is an amenable number.

1020209976 is an abundant number, since it is smaller than the sum of its proper divisors (1751637024).

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

1020209976 is a wasteful number, since it uses less digits than its factorization.

1020209976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45028 (or 45021 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1020209976 is about 31940.7259779736. The cubic root of 1020209976 is about 1006.6917788764.

The spelling of 1020209976 in words is "one billion, twenty million, two hundred nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5706 7608 11412 22824 44699 89398 134097 178796 268194 357592 402291 536388 804582 1072776 1609164 3218328 14169583 28339166 42508749 56678332 85017498 113356664 127526247 170034996 255052494 340069992 510104988 1020209976