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142563240 = 233654889
BaseRepresentation
bin10000111111101…
…01011110101000
3100221020222000000
420133311132220
5242444010430
622051343000
73350524161
oct1037653650
9327228000
10142563240
1173522966
123b8b1a60
13236c6c61
1414d10768
15c7b0e60
hex87f57a8

142563240 has 112 divisors (see below), whose sum is σ = 481029300. Its totient is φ = 38009088.

The previous prime is 142563229. The next prime is 142563247. The reversal of 142563240 is 42365241.

142563240 is a `hidden beast` number, since 1 + 4 + 25 + 632 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142420356 + 142884 = 11934^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142563247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26716 + ... + 31604.

Almost surely, 2142563240 is an apocalyptic number.

142563240 is a gapful number since it is divisible by the number (10) 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 142563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240514650).

142563240 is an abundant number, since it is smaller than the sum of its proper divisors (338466060).

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

142563240 is an equidigital number, since it uses as much as digits as its factorization.

142563240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142563240 is about 11939.9849246136. The cubic root of 142563240 is about 522.3992189803.

The spelling of 142563240 in words is "one hundred forty-two million, five hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 4889 5832 7290 9720 9778 14580 14667 19556 24445 29160 29334 39112 44001 48890 58668 73335 88002 97780 117336 132003 146670 176004 195560 220005 264006 293340 352008 396009 440010 528012 586680 660015 792018 880020 1056024 1188027 1320030 1584036 1760040 1980045 2376054 2640060 3168072 3564081 3960090 4752108 5280120 5940135 7128162 7920180 9504216 11880270 14256324 15840360 17820405 23760540 28512648 35640810 47521080 71281620 142563240