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1109742192 = 2432134712613
BaseRepresentation
bin100001000100101…
…0101001001110000
32212100011202002200
41002021111021300
54233043222232
6302041343200
736333436656
oct10211251160
92770152080
101109742192
1151a469809
1226b797b00
13148bb20b0
14a7556dd6
156765c77c
hex42255270

1109742192 has 120 divisors (see below), whose sum is σ = 3416073024. Its totient is φ = 334167552.

The previous prime is 1109742169. The next prime is 1109742211. The reversal of 1109742192 is 2912479011.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 81678 + ... + 94290.

Almost surely, 21109742192 is an apocalyptic number.

1109742192 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 1109742192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708036512).

1109742192 is an abundant number, since it is smaller than the sum of its proper divisors (2306330832).

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

1109742192 is a wasteful number, since it uses less digits than its factorization.

1109742192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1109742192 is about 33312.7932182217. The cubic root of 1109742192 is about 1035.3186388526.

The spelling of 1109742192 in words is "one billion, one hundred nine million, seven hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 12613 14664 21996 25226 29328 37839 43992 50452 75678 87984 100904 113517 151356 163969 201808 227034 302712 327938 454068 491907 592811 605424 655876 908136 983814 1185622 1311752 1475721 1778433 1816272 1967628 2371244 2623504 2951442 3556866 3935256 4742488 5335299 5902884 7113732 7706543 7870512 9484976 10670598 11805768 14227464 15413086 21341196 23119629 23611536 28454928 30826172 42682392 46239258 61652344 69358887 85364784 92478516 123304688 138717774 184957032 277435548 369914064 554871096 1109742192