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1139088384 = 21032717657
BaseRepresentation
bin100001111100101…
…0001110000000000
32221101101200111200
41003321101300000
54313101312014
6305010341200
740141043250
oct10371216000
92841350450
101139088384
11534a92a65
1227958a800
13151cb85c5
14ab3d5960
156a007a09
hex43e51c00

1139088384 has 132 divisors (see below), whose sum is σ = 3759176304. Its totient is φ = 325435392.

The previous prime is 1139088367. The next prime is 1139088413. The reversal of 1139088384 is 4838809311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55684 + ... + 73340.

Almost surely, 21139088384 is an apocalyptic number.

1139088384 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 1139088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879588152).

1139088384 is an abundant number, since it is smaller than the sum of its proper divisors (2620087920).

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

1139088384 is a wasteful number, since it uses less digits than its factorization.

1139088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17690 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1139088384 is about 33750.3834644882. The cubic root of 1139088384 is about 1044.3653981456.

The spelling of 1139088384 in words is "one billion, one hundred thirty-nine million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 17657 21504 32256 35314 52971 64512 70628 105942 123599 141256 158913 211884 247198 282512 317826 370797 423768 494396 565024 635652 741594 847536 988792 1112391 1130048 1271304 1483188 1695072 1977584 2224782 2260096 2542608 2966376 3390144 3955168 4449564 4520192 5085216 5932752 6780288 7910336 8899128 9040384 10170432 11865504 13560576 15820672 17798256 18080768 20340864 23731008 27121152 31641344 35596512 40681728 47462016 54242304 63282688 71193024 81363456 94924032 126565376 142386048 162726912 189848064 284772096 379696128 569544192 1139088384