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142012200 = 233521121517
BaseRepresentation
bin10000111011011…
…10111100101000
3100220012222010010
420131232330220
5242323342300
622031451520
73343040511
oct1035567450
9326188103
10142012200
1173186960
123b686ba0
13235631b5
1414c09a08
15c702a50
hex876ef28

142012200 has 96 divisors (see below), whose sum is σ = 480281760. Its totient is φ = 34425600.

The previous prime is 142012183. The next prime is 142012201. The reversal of 142012200 is 2210241.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (142012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4159 + ... + 17358.

It is an arithmetic number, because the mean of its divisors is an integer number (5002935).

Almost surely, 2142012200 is an apocalyptic number.

142012200 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 142012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240140880).

142012200 is an abundant number, since it is smaller than the sum of its proper divisors (338269560).

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

142012200 is a wasteful number, since it uses less digits than its factorization.

142012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21547 (or 21538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142012200 is about 11916.8871774470. The cubic root of 142012200 is about 521.7252852002.

Adding to 142012200 its reverse (2210241), we get a palindrome (144222441).

The spelling of 142012200 in words is "one hundred forty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 21517 43034 64551 86068 107585 129102 172136 215170 236687 258204 322755 430340 473374 516408 537925 645510 710061 860680 946748 1075850 1183435 1291020 1420122 1613775 1893496 2151700 2366870 2582040 2840244 3227550 3550305 4303400 4733740 5680488 5917175 6455100 7100610 9467480 11834350 12910200 14201220 17751525 23668700 28402440 35503050 47337400 71006100 142012200