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142273152 = 273375881
BaseRepresentation
bin10000111101011…
…10101010000000
3100220201020002000
420132232222000
5242410220102
622041224000
73345205350
oct1036565200
9326636060
10142273152
1173344a1a
123b792000
1323624bc8
1414c76b60
15c75501c
hex87aea80

142273152 has 128 divisors (see below), whose sum is σ = 479971200. Its totient is φ = 40642560.

The previous prime is 142273151. The next prime is 142273163. The reversal of 142273152 is 251372241.

It is a tau number, because it is divible by the number of its divisors (128).

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 (142273151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21252 + ... + 27132.

It is an arithmetic number, because the mean of its divisors is an integer number (3749775).

Almost surely, 2142273152 is an apocalyptic number.

142273152 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 142273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239985600).

142273152 is an abundant number, since it is smaller than the sum of its proper divisors (337698048).

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

142273152 is an equidigital number, since it uses as much as digits as its factorization.

142273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5893 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 142273152 is about 11927.8309847181. The cubic root of 142273152 is about 522.0446520133.

The spelling of 142273152 in words is "one hundred forty-two million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 5881 6048 8064 11762 12096 17643 23524 24192 35286 41167 47048 52929 70572 82334 94096 105858 123501 141144 158787 164668 188192 211716 247002 282288 317574 329336 370503 376384 423432 494004 564576 635148 658672 741006 752768 846864 988008 1111509 1129152 1270296 1317344 1482012 1693728 1976016 2223018 2258304 2540592 2634688 2964024 3387456 3952032 4446036 5081184 5269376 5928048 6774912 7904064 8892072 10162368 11856096 15808128 17784144 20324736 23712192 35568288 47424384 71136576 142273152