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1093992192 = 28324571039
BaseRepresentation
bin100000100110100…
…1111111100000000
32211020112120011100
41001031033330000
54220030222232
6300320014400
736052531416
oct10115177400
92736476140
101093992192
11511591587
12266461400
13145859277
14a54172b6
156609ac7c
hex4134ff00

1093992192 has 108 divisors (see below), whose sum is σ = 3164193760. Its totient is φ = 363515904.

The previous prime is 1093992191. The next prime is 1093992199. The reversal of 1093992192 is 2912993901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093992191) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1052409 + ... + 1053447.

Almost surely, 21093992192 is an apocalyptic number.

1093992192 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 1093992192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582096880).

1093992192 is an abundant number, since it is smaller than the sum of its proper divisors (2070201568).

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

1093992192 is a wasteful number, since it uses less digits than its factorization.

1093992192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 1093992192 is about 33075.5527844963. The cubic root of 1093992192 is about 1030.3973682790.

The spelling of 1093992192 in words is "one billion, ninety-three million, nine hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 457 576 768 914 1039 1152 1371 1828 2078 2304 2742 3117 3656 4113 4156 5484 6234 7312 8226 8312 9351 10968 12468 14624 16452 16624 18702 21936 24936 29248 32904 33248 37404 43872 49872 58496 65808 66496 74808 87744 99744 116992 131616 132992 149616 175488 199488 263232 265984 299232 350976 398976 474823 526464 598464 797952 949646 1052928 1196928 1424469 1899292 2393856 2848938 3798584 4273407 5697876 7597168 8546814 11395752 15194336 17093628 22791504 30388672 34187256 45583008 60777344 68374512 91166016 121554688 136749024 182332032 273498048 364664064 546996096 1093992192