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1130240832 = 26371734861
BaseRepresentation
bin100001101011110…
…0001101101000000
32220202202011221120
41003113201231000
54303320201312
6304052552240
740002613530
oct10327415500
92822664846
101130240832
1152aa9a736
12276622680
1315020b476
14aa1714c0
156935b28c
hex435e1b40

1130240832 has 112 divisors (see below), whose sum is σ = 3438095232. Its totient is φ = 320993280.

The previous prime is 1130240779. The next prime is 1130240849. The reversal of 1130240832 is 2380420311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 230082 + ... + 234942.

Almost surely, 21130240832 is an apocalyptic number.

1130240832 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 1130240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719047616).

1130240832 is an abundant number, since it is smaller than the sum of its proper divisors (2307854400).

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

1130240832 is a wasteful number, since it uses less digits than its factorization.

1130240832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1130240832 is about 33619.0545970585. The cubic root of 1130240832 is about 1041.6544278910.

The spelling of 1130240832 in words is "one billion, one hundred thirty million, two hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 448 519 672 692 1038 1211 1344 1384 2076 2422 2768 3633 4152 4844 4861 5536 7266 8304 9688 9722 11072 14532 14583 16608 19376 19444 29064 29166 33216 34027 38752 38888 58128 58332 68054 77504 77776 102081 116256 116664 136108 155552 204162 232512 233328 272216 311104 408324 466656 544432 816648 840953 933312 1088864 1633296 1681906 2177728 2522859 3266592 3363812 5045718 5886671 6533184 6727624 10091436 11773342 13455248 17660013 20182872 23546684 26910496 35320026 40365744 47093368 53820992 70640052 80731488 94186736 141280104 161462976 188373472 282560208 376746944 565120416 1130240832