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1010639968 = 25135214663
BaseRepresentation
bin111100001111010…
…010010001100000
32121102200211101221
4330033102101200
54032210434333
6244141304424
734021204132
oct7417222140
92542624357
101010639968
11479530848
12242565114
131314c4120
149831b052
155dad3d2d
hex3c3d2460

1010639968 has 48 divisors (see below), whose sum is σ = 2147324256. Its totient is φ = 465454080.

The previous prime is 1010639947. The next prime is 1010639977. The reversal of 1010639968 is 8699360101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214405 + ... + 219067.

It is an arithmetic number, because the mean of its divisors is an integer number (44735922).

Almost surely, 21010639968 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 1010639968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073662128).

1010639968 is an abundant number, since it is smaller than the sum of its proper divisors (1136684288).

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

1010639968 is a wasteful number, since it uses less digits than its factorization.

1010639968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 1010639968 is about 31790.5641346611. The cubic root of 1010639968 is about 1003.5341510622.

The spelling of 1010639968 in words is "one billion, ten million, six hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 521 1042 2084 4168 4663 6773 8336 9326 13546 16672 18652 27092 37304 54184 60619 74608 108368 121238 149216 216736 242476 484952 969904 1939808 2429423 4858846 9717692 19435384 31582499 38870768 63164998 77741536 126329996 252659992 505319984 1010639968