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1030106880 = 28325112739
BaseRepresentation
bin111101011001100…
…010111100000000
32122210022211222200
4331121202330000
54102201410010
6250114433200
734345523025
oct7531427400
92583284880
101030106880
11489517600
12248b92800
1313554b9ca
149ab4754c
156067bcc0
hex3d662f00

1030106880 has 324 divisors, whose sum is σ = 3922824360. Its totient is φ = 249384960.

The previous prime is 1030106867. The next prime is 1030106927. The reversal of 1030106880 is 886010301.

It is a super-2 number, since 2×10301068802 = 2122240368446668800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393551 + ... + 1394289.

Almost surely, 21030106880 is an apocalyptic number.

1030106880 is a gapful number since it is divisible by the number (10) 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 1030106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961412180).

1030106880 is an abundant number, since it is smaller than the sum of its proper divisors (2892717480).

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

1030106880 is a wasteful number, since it uses less digits than its factorization.

1030106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1030106880 is about 32095.2781573863. The cubic root of 1030106880 is about 1009.9365643261.

The spelling of 1030106880 in words is "one billion, thirty million, one hundred six thousand, eight hundred eighty".