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1093933296 = 24331272157
BaseRepresentation
bin100000100110100…
…0001100011110000
32211020102120101000
41001031001203300
54220021331141
6300314442000
736052164621
oct10115014360
92736376330
101093933296
11511551305
12266433300
13145838511
14a53dda48
15660885b6
hex413418f0

1093933296 has 120 divisors (see below), whose sum is σ = 3185071440. Its totient is φ = 359468928.

The previous prime is 1093933283. The next prime is 1093933297. The reversal of 1093933296 is 6923393901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093933297) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6967650 + ... + 6967806.

It is an arithmetic number, because the mean of its divisors is an integer number (26542262).

Almost surely, 21093933296 is an apocalyptic number.

1093933296 is a gapful number since it is divisible by the number (16) 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 1093933296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592535720).

1093933296 is an abundant number, since it is smaller than the sum of its proper divisors (2091138144).

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

1093933296 is a wasteful number, since it uses less digits than its factorization.

1093933296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 1093933296 is about 33074.6624472571. The cubic root of 1093933296 is about 1030.3788771743.

The spelling of 1093933296 in words is "one billion, ninety-three million, nine hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 157 216 254 314 381 432 471 508 628 762 942 1016 1143 1256 1413 1524 1884 2032 2286 2512 2826 3048 3429 3768 4239 4572 5652 6096 6858 7536 8478 9144 11304 13716 16129 16956 18288 19939 22608 27432 32258 33912 39878 48387 54864 59817 64516 67824 79756 96774 119634 129032 145161 159512 179451 193548 239268 258064 290322 319024 358902 387096 435483 478536 538353 580644 717804 774192 870966 957072 1076706 1161288 1435608 1741932 2153412 2322576 2532253 2871216 3483864 4306824 5064506 6967728 7596759 8613648 10129012 15193518 20258024 22790277 30387036 40516048 45580554 60774072 68370831 91161108 121548144 136741662 182322216 273483324 364644432 546966648 1093933296