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142212420 = 223257591913
BaseRepresentation
bin10000111100111…
…11110101000100
3100220121010202200
420132133311010
5242401244140
622040034500
73344533320
oct1036376504
9326533680
10142212420
1173303329
123b762a30
132360337c
1414c5c980
15c742030
hex879fd44

142212420 has 144 divisors (see below), whose sum is σ = 501621120. Its totient is φ = 31938048.

The previous prime is 142212419. The next prime is 142212443. The reversal of 142212420 is 24212241.

142212420 is a `hidden beast` number, since 1 + 422 + 1 + 242 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142212393 and 142212402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73384 + ... + 75296.

It is an arithmetic number, because the mean of its divisors is an integer number (3483480).

Almost surely, 2142212420 is an apocalyptic number.

142212420 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 142212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250810560).

142212420 is an abundant number, since it is smaller than the sum of its proper divisors (359408700).

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

142212420 is a wasteful number, since it uses less digits than its factorization.

142212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142212420 is about 11925.2849022571. The cubic root of 142212420 is about 521.9703598795.

Adding to 142212420 its reverse (24212241), we get a palindrome (166424661).

It can be divided in two parts, 14221 and 2420, that added together give a square (16641 = 1292).

The spelling of 142212420 in words is "one hundred forty-two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 590 630 708 826 885 1062 1180 1239 1260 1652 1770 1913 2065 2124 2478 2655 3540 3717 3826 4130 4956 5310 5739 6195 7434 7652 8260 9565 10620 11478 12390 13391 14868 17217 18585 19130 22956 24780 26782 28695 34434 37170 38260 40173 53564 57390 66955 68868 74340 80346 86085 112867 114780 120519 133910 160692 172170 200865 225734 241038 267820 338601 344340 401730 451468 482076 564335 602595 677202 790069 803460 1015803 1128670 1205190 1354404 1580138 1693005 2031606 2257340 2370207 2410380 3160276 3386010 3950345 4063212 4740414 5079015 6772020 7110621 7900690 9480828 10158030 11851035 14221242 15801380 20316060 23702070 28442484 35553105 47404140 71106210 142212420