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142020450 = 2325211132207
BaseRepresentation
bin10000111011100…
…00111101100010
3100220020101102200
420131300331202
5242324123300
622031554030
73343103535
oct1035607542
9326211380
10142020450
1173192080
123b68b916
1323566b90
1414c0ca1c
15c705200
hex8770f62

142020450 has 144 divisors (see below), whose sum is σ = 448471296. Its totient is φ = 31766400.

The previous prime is 142020409. The next prime is 142020479. The reversal of 142020450 is 54020241.

142020450 is a `hidden beast` number, since 14 + 202 + 0 + 450 = 666.

142020450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 63247 + ... + 65453.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384).

Almost surely, 2142020450 is an apocalyptic number.

142020450 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 142020450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235648).

142020450 is an abundant number, since it is smaller than the sum of its proper divisors (306450846).

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

142020450 is a wasteful number, since it uses less digits than its factorization.

142020450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 142020450 is about 11917.2333198608. The cubic root of 142020450 is about 521.7353879713.

Adding to 142020450 its reverse (54020241), we get a palindrome (196040691).

The spelling of 142020450 in words is "one hundred forty-two million, twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 325 330 390 429 450 495 550 585 650 715 825 858 975 990 1170 1287 1430 1650 1950 2145 2207 2475 2574 2925 3575 4290 4414 4950 5850 6435 6621 7150 10725 11035 12870 13242 19863 21450 22070 24277 28691 32175 33105 39726 48554 55175 57382 64350 66210 72831 86073 99315 110350 121385 143455 145662 165525 172146 198630 218493 242770 258219 286910 315601 331050 364155 430365 436986 496575 516438 606925 631202 717275 728310 860730 946803 993150 1092465 1213850 1291095 1434550 1578005 1820775 1893606 2151825 2184930 2582190 2840409 3156010 3641550 4303650 4734015 5462325 5680818 6455475 7890025 9468030 10924650 12910950 14202045 15780050 23670075 28404090 47340150 71010225 142020450