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1022040968 = 2313293171069
BaseRepresentation
bin111100111010110…
…001101110001000
32122020011001122012
4330322301232020
54043120302333
6245225515052
734220130164
oct7472615610
92566131565
101022040968
11484a08563
12246342a88
13133986590
1499a47ca4
155ead6e48
hex3ceb1b88

1022040968 has 64 divisors (see below), whose sum is σ = 2143638000. Its totient is φ = 453583872.

The previous prime is 1022040967. The next prime is 1022040977. The reversal of 1022040968 is 8690402201.

It can be written as a sum of positive squares in 8 ways, for example, as 96786244 + 925254724 = 9838^2 + 30418^2 .

It is not an unprimeable number, because it can be changed into a prime (1022040967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955538 + ... + 956606.

Almost surely, 21022040968 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 1022040968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071819000).

1022040968 is an abundant number, since it is smaller than the sum of its proper divisors (1121597032).

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

1022040968 is a wasteful number, since it uses less digits than its factorization.

1022040968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1022040968 is about 31969.3754709097. The cubic root of 1022040968 is about 1007.2936624860.

The spelling of 1022040968 in words is "one billion, twenty-two million, forty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 317 377 634 754 1069 1268 1508 2138 2536 3016 4121 4276 8242 8552 9193 13897 16484 18386 27794 31001 32968 36772 55588 62002 73544 111176 119509 124004 239018 248008 338873 403013 478036 677746 806026 956072 1355492 1612052 2710984 3224104 4405349 8810698 9827317 17621396 19654634 35242792 39309268 78618536 127755121 255510242 511020484 1022040968