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1030966272 = 2103372761
BaseRepresentation
bin111101011100110…
…100110000000000
32122211221111212000
4331130310300000
54102411410042
6250145104000
734356032400
oct7534646000
92584844760
101030966272
11489a54246
12249328000
1313578cc1b
149accc800
156079b74c
hex3d734c00

1030966272 has 264 divisors, whose sum is σ = 3556375920. Its totient is φ = 294174720.

The previous prime is 1030966253. The next prime is 1030966289. The reversal of 1030966272 is 2726690301.

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

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 23 ways as a sum of consecutive naturals, for example, 1354372 + ... + 1355132.

Almost surely, 21030966272 is an apocalyptic number.

1030966272 is a gapful number since it is divisible by the number (12) 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 1030966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778187960).

1030966272 is an abundant number, since it is smaller than the sum of its proper divisors (2525409648).

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

1030966272 is an equidigital number, since it uses as much as digits as its factorization.

1030966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1030966272 is about 32108.6635037960. The cubic root of 1030966272 is about 1010.2173410650.

The spelling of 1030966272 in words is "one billion, thirty million, nine hundred sixty-six thousand, two hundred seventy-two".