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1190042010 = 2335192291013
BaseRepresentation
bin100011011101110…
…1001100110011010
310001221021101202000
41012323221212122
54414122321020
6314030421430
741330122143
oct10673514632
93057241660
101190042010
115608251a3
12292661876
1315c718a91
14b409aaca
156e720090
hex46ee999a

1190042010 has 128 divisors (see below), whose sum is σ = 3358368000. Its totient is φ = 299033856.

The previous prime is 1190041997. The next prime is 1190042047. The reversal of 1190042010 is 102400911.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1174264 + ... + 1175276.

It is an arithmetic number, because the mean of its divisors is an integer number (26237250).

Almost surely, 21190042010 is an apocalyptic number.

1190042010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1190042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679184000).

1190042010 is an abundant number, since it is smaller than the sum of its proper divisors (2168325990).

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

1190042010 is a wasteful number, since it uses less digits than its factorization.

1190042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1190042010 is about 34496.9855204770. The cubic root of 1190042010 is about 1059.7109719876.

Adding to 1190042010 its reverse (102400911), we get a palindrome (1292442921).

The spelling of 1190042010 in words is "one billion, one hundred ninety million, forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 229 270 285 342 458 513 570 687 855 1013 1026 1145 1374 1710 2026 2061 2290 2565 3039 3435 4122 4351 5065 5130 6078 6183 6870 8702 9117 10130 10305 12366 13053 15195 18234 19247 20610 21755 26106 27351 30390 30915 38494 39159 43510 45585 54702 57741 61830 65265 78318 91170 96235 115482 117477 130530 136755 173223 192470 195795 231977 234954 273510 288705 346446 391590 463954 519669 577410 587385 695931 866115 1039338 1159885 1174770 1391862 1732230 2087793 2319770 2598345 3479655 4175586 4407563 5196690 6263379 6959310 8815126 10438965 12526758 13222689 20877930 22037815 26445378 31316895 39668067 44075630 62633790 66113445 79336134 119004201 132226890 198340335 238008402 396680670 595021005 1190042010