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1130594304 = 215373153
BaseRepresentation
bin100001101100011…
…1000000000000000
32220210102010211010
41003120320000000
54303413004204
6304104320520
740005615210
oct10330700000
92823363733
101130594304
11530211264
12276773140
13150303318
14aa224240
15693cad89
hex43638000

1130594304 has 256 divisors, whose sum is σ = 3623823360. Its totient is φ = 306708480.

The previous prime is 1130594293. The next prime is 1130594317. The reversal of 1130594304 is 4034950311.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21331942 + ... + 21331994.

It is an arithmetic number, because the mean of its divisors is an integer number (14155560).

Almost surely, 21130594304 is an apocalyptic number.

1130594304 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 1130594304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811911680).

1130594304 is an abundant number, since it is smaller than the sum of its proper divisors (2493229056).

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

1130594304 is an frugal number, since it uses more digits than its factorization.

1130594304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1130594304 is about 33624.3112048411. The cubic root of 1130594304 is about 1041.7630057230.

The spelling of 1130594304 in words is "one billion, one hundred thirty million, five hundred ninety-four thousand, three hundred four".