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1139962432 = 26723317349
BaseRepresentation
bin100001111110010…
…0111001001000000
32221110001002110211
41003330213021000
54313312244212
6305041203504
740151343430
oct10374471100
92843032424
101139962432
1153552a714
12279930594
131522333ab
14ab5822c0
156a12b9a7
hex43f27240

1139962432 has 112 divisors (see below), whose sum is σ = 2713939200. Its totient is φ = 464504832.

The previous prime is 1139962429. The next prime is 1139962459. The reversal of 1139962432 is 2342699311.

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

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, 3266194 + ... + 3266542.

It is an arithmetic number, because the mean of its divisors is an integer number (24231600).

Almost surely, 21139962432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139962432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356969600).

1139962432 is an abundant number, since it is smaller than the sum of its proper divisors (1573976768).

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

1139962432 is a wasteful number, since it uses less digits than its factorization.

1139962432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 1139962432 is about 33763.3296936188. The cubic root of 1139962432 is about 1044.6324514965.

The spelling of 1139962432 in words is "one billion, one hundred thirty-nine million, nine hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 317 322 349 368 448 634 644 698 736 1268 1288 1396 1472 2219 2443 2536 2576 2792 4438 4886 5072 5152 5584 7291 8027 8876 9772 10144 10304 11168 14582 16054 17752 19544 20288 22336 29164 32108 35504 39088 51037 56189 58328 64216 71008 78176 102074 110633 112378 116656 128432 142016 156352 204148 221266 224756 233312 256864 408296 442532 449512 466624 513728 774431 816592 885064 899024 1548862 1633184 1770128 1798048 2544559 3097724 3266368 3540256 3596096 5089118 6195448 7080512 10178236 12390896 17811913 20356472 24781792 35623826 40712944 49563584 71247652 81425888 142495304 162851776 284990608 569981216 1139962432