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1031068896 = 2531113195967
BaseRepresentation
bin111101011101001…
…101110011100000
32122212010201121220
4331131031303200
54102423201041
6250151215040
734356640524
oct7535156340
92585121556
101031068896
1148a014360
12249377480
131357c7850
149ad17d84
15607bbd66
hex3d74dce0

1031068896 has 384 divisors, whose sum is σ = 3454617600. Its totient is φ = 264591360.

The previous prime is 1031068879. The next prime is 1031068937. The reversal of 1031068896 is 6988601301.

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 63 ways as a sum of consecutive naturals, for example, 15389055 + ... + 15389121.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 21031068896 is an apocalyptic number.

1031068896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031068896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

1031068896 is an abundant number, since it is smaller than the sum of its proper divisors (2423548704).

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

1031068896 is a wasteful number, since it uses less digits than its factorization.

1031068896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1031068896 is about 32110.2615373964. The cubic root of 1031068896 is about 1010.2508594925.

The spelling of 1031068896 in words is "one billion, thirty-one million, sixty-eight thousand, eight hundred ninety-six".