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1128053304 = 23347235527
BaseRepresentation
bin100001100111100…
…1011101000111000
32220121122001020000
41003033023220320
54302240201204
6303534033000
736645203100
oct10317135070
92817561200
101128053304
11529836164
12275948760
1314c923881
14a9b62200
1569078039
hex433cba38

1128053304 has 120 divisors (see below), whose sum is σ = 3675549240. Its totient is φ = 322291872.

The previous prime is 1128053287. The next prime is 1128053371. The reversal of 1128053304 is 4033508211.

It is a happy number.

1128053304 is a `hidden beast` number, since 1 + 128 + 0 + 533 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13989 + ... + 49515.

It is an arithmetic number, because the mean of its divisors is an integer number (30629577).

Almost surely, 21128053304 is an apocalyptic number.

1128053304 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 1128053304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837774620).

1128053304 is an abundant number, since it is smaller than the sum of its proper divisors (2547495936).

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

1128053304 is a wasteful number, since it uses less digits than its factorization.

1128053304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35559 (or 35539 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1128053304 is about 33586.5047898706. The cubic root of 1128053304 is about 1040.9819694740.

The spelling of 1128053304 in words is "one billion, one hundred twenty-eight million, fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 35527 71054 106581 142108 213162 248689 284216 319743 426324 497378 639486 746067 852648 959229 994756 1278972 1492134 1740823 1918458 1989512 2238201 2557944 2877687 2984268 3481646 3836916 4476402 5222469 5755374 5968536 6714603 6963292 7673832 8952804 10444938 11510748 13429206 13926584 15667407 17905608 20143809 20889876 23021496 26858412 31334814 40287618 41779752 47002221 53716824 62669628 80575236 94004442 125339256 141006663 161150472 188008884 282013326 376017768 564026652 1128053304