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1030863168 = 26321789693
BaseRepresentation
bin111101011100011…
…011100101000000
32122211202021102100
4331130123211000
54102400110133
6250142550400
734355122656
oct7534334500
92584667370
101030863168
11489993835
12249298400
1313575500a
149aca2dd6
156077ae13
hex3d71b940

1030863168 has 42 divisors (see below), whose sum is σ = 2954784794. Its totient is φ = 343620864.

The previous prime is 1030863167. The next prime is 1030863193. The reversal of 1030863168 is 8613680301.

1030863168 is a `hidden beast` number, since 10 + 3 + 0 + 8 + 631 + 6 + 8 = 666.

1030863168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 882802944 + 148060224 = 29712^2 + 12168^2 .

It is a super-2 number, since 2×10308631682 = 2125357742277992448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030863167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 894271 + ... + 895422.

Almost surely, 21030863168 is an apocalyptic number.

1030863168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1030863168 is an abundant number, since it is smaller than the sum of its proper divisors (1923921626).

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

1030863168 is a wasteful number, since it uses less digits than its factorization.

1030863168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789711 (or 1789698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1030863168 is about 32107.0579156671. The cubic root of 1030863168 is about 1010.1836636228.

The spelling of 1030863168 in words is "one billion, thirty million, eight hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1789693 3579386 5369079 7158772 10738158 14317544 16107237 21476316 28635088 32214474 42952632 57270176 64428948 85905264 114540352 128857896 171810528 257715792 343621056 515431584 1030863168