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1103000192 = 27743797
BaseRepresentation
bin100000110111110…
…0111001010000000
32211212111012210222
41001233213022000
54224332001232
6301241042212
736222230000
oct10157471200
92755435728
101103000192
11516684408
12269486368
13147691448
14a66c0000
1566c79d12
hex41be7280

1103000192 has 160 divisors (see below), whose sum is σ = 2659885620. Its totient is φ = 455196672.

The previous prime is 1103000161. The next prime is 1103000209. The reversal of 1103000192 is 2910003011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1058591296 + 44408896 = 32536^2 + 6664^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1103000192.

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 19 ways as a sum of consecutive naturals, for example, 11371088 + ... + 11371184.

Almost surely, 21103000192 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 1103000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329942810).

1103000192 is an abundant number, since it is smaller than the sum of its proper divisors (1556885428).

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

1103000192 is an frugal number, since it uses more digits than its factorization.

1103000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1103000192 is about 33211.4467014010. The cubic root of 1103000192 is about 1033.2177600421.

The spelling of 1103000192 in words is "one billion, one hundred three million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 97 98 112 128 148 194 196 224 259 296 343 388 392 448 518 592 679 686 776 784 896 1036 1184 1358 1372 1552 1568 1813 2072 2368 2401 2716 2744 3104 3136 3589 3626 4144 4736 4753 4802 5432 5488 6208 6272 7178 7252 8288 9506 9604 10864 10976 12416 12691 14356 14504 16576 19012 19208 21728 21952 25123 25382 28712 29008 33152 33271 38024 38416 43456 43904 50246 50764 57424 58016 66542 76048 76832 86912 88837 100492 101528 114848 116032 133084 152096 153664 175861 177674 200984 203056 229696 232064 232897 266168 304192 307328 351722 355348 401968 406112 459392 465794 532336 608384 703444 710696 803936 812224 931588 1064672 1231027 1406888 1421392 1607872 1624448 1863176 2129344 2462054 2813776 2842784 3215744 3726352 4258688 4924108 5627552 5685568 7452704 8617189 9848216 11255104 11371136 14905408 17234378 19696432 22510208 29810816 34468756 39392864 68937512 78785728 137875024 157571456 275750048 551500096 1103000192