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142112250 = 23253721289
BaseRepresentation
bin10000111100001…
…11010111111010
3100220102001100200
420132013113322
5242340043000
622033543030
73343635300
oct1036072772
9326361320
10142112250
1173245045
123b714a76
13235998b7
1414c34270
15c722500
hex87875fa

142112250 has 144 divisors (see below), whose sum is σ = 447356520. Its totient is φ = 32457600.

The previous prime is 142112237. The next prime is 142112261. The reversal of 142112250 is 52211241.

It can be written as a sum of positive squares in 4 ways, for example, as 64689849 + 77422401 = 8043^2 + 8799^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109606 + ... + 110894.

Almost surely, 2142112250 is an apocalyptic number.

142112250 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 142112250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223678260).

142112250 is an abundant number, since it is smaller than the sum of its proper divisors (305244270).

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

142112250 is a wasteful number, since it uses less digits than its factorization.

142112250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142112250 is about 11921.0842627674. The cubic root of 142112250 is about 521.8477778718.

Adding to 142112250 its reverse (52211241), we get a palindrome (194323491).

It can be divided in two parts, 14211 and 2250, that added together give a palindrome (16461).

The spelling of 142112250 in words is "one hundred forty-two million, one hundred twelve thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 125 126 147 150 175 210 225 245 250 294 315 350 375 441 450 490 525 630 735 750 875 882 1050 1125 1225 1289 1470 1575 1750 2205 2250 2450 2578 2625 3150 3675 3867 4410 5250 6125 6445 7350 7734 7875 9023 11025 11601 12250 12890 15750 18046 18375 19335 22050 23202 27069 32225 36750 38670 45115 54138 55125 58005 63161 64450 81207 90230 96675 110250 116010 126322 135345 161125 162414 189483 193350 225575 270690 290025 315805 322250 378966 406035 451150 483375 568449 580050 631610 676725 812070 947415 966750 1127875 1136898 1353450 1450125 1579025 1894830 2030175 2255750 2842245 2900250 3158050 3383625 4060350 4737075 5684490 6767250 7895125 9474150 10150875 14211225 15790250 20301750 23685375 28422450 47370750 71056125 142112250