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1030096704 = 2637131929107
BaseRepresentation
bin111101011001100…
…000011101000000
32122210022100000210
4331121200131000
54102201043304
6250114314120
734345451250
oct7531403500
92583270023
101030096704
1148950a99a
12248b88940
131355471a0
149ab43960
1560678c89
hex3d660740

1030096704 has 448 divisors, whose sum is σ = 3686860800. Its totient is φ = 246177792.

The previous prime is 1030096681. The next prime is 1030096741. The reversal of 1030096704 is 4076900301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10300967042 = 2122198439183327232, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 9627019 + ... + 9627125.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 21030096704 is an apocalyptic number.

1030096704 is a gapful number since it is divisible by the number (14) 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 1030096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

1030096704 is an abundant number, since it is smaller than the sum of its proper divisors (2656764096).

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

1030096704 is a wasteful number, since it uses less digits than its factorization.

1030096704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1030096704 is about 32095.1196290028. The cubic root of 1030096704 is about 1009.9332387333.

The spelling of 1030096704 in words is "one billion, thirty million, ninety-six thousand, seven hundred four".