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1021942064 = 2411133171409
BaseRepresentation
bin111100111010011…
…001100100110000
32122012222000222002
4330322121210300
54043104121224
6245223433132
734216235633
oct7472314460
92565860862
101021942064
11484950220
122462b57a8
13133950560
1499a1dc1a
155eab79ae
hex3ce99930

1021942064 has 80 divisors (see below), whose sum is σ = 2335163040. Its totient is φ = 427130880.

The previous prime is 1021942057. The next prime is 1021942069. The reversal of 1021942064 is 4602491201.

1021942064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1021942069) 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, 724592 + ... + 726000.

It is an arithmetic number, because the mean of its divisors is an integer number (29189538).

Almost surely, 21021942064 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 1021942064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167581520).

1021942064 is an abundant number, since it is smaller than the sum of its proper divisors (1313220976).

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

1021942064 is a wasteful number, since it uses less digits than its factorization.

1021942064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1021942064 is about 31967.8285781190. The cubic root of 1021942064 is about 1007.2611691420.

The spelling of 1021942064 in words is "one billion, twenty-one million, nine hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 317 572 634 1144 1268 1409 2288 2536 2818 3487 4121 5072 5636 6974 8242 11272 13948 15499 16484 18317 22544 27896 30998 32968 36634 45331 55792 61996 65936 73268 90662 123992 146536 181324 201487 247984 293072 362648 402974 446653 725296 805948 893306 1611896 1786612 3223792 3573224 4913183 5806489 7146448 9826366 11612978 19652732 23225956 39305464 46451912 63871379 78610928 92903824 127742758 255485516 510971032 1021942064