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142853220 = 22345109809
BaseRepresentation
bin10001000001111…
…00010001100100
3100221210200210000
420200330101210
5243032300340
622101501300
73353142456
oct1040742144
9327720700
10142853220
1173700814
123ba11830
1323798c43
1414d882d6
15c81bd30
hex883c464

142853220 has 120 divisors (see below), whose sum is σ = 452806200. Its totient is φ = 37698048.

The previous prime is 142853213. The next prime is 142853231. The reversal of 142853220 is 22358241.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 92044836 = 7128^2 + 9594^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176176 + ... + 176984.

It is an arithmetic number, because the mean of its divisors is an integer number (3773385).

Almost surely, 2142853220 is an apocalyptic number.

142853220 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 142853220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226403100).

142853220 is an abundant number, since it is smaller than the sum of its proper divisors (309952980).

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

142853220 is a wasteful number, since it uses less digits than its factorization.

142853220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 142853220 is about 11952.1219873293. The cubic root of 142853220 is about 522.7531735531.

The spelling of 142853220 in words is "one hundred forty-two million, eight hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 270 324 327 405 436 540 545 654 809 810 981 1090 1308 1618 1620 1635 1962 2180 2427 2943 3236 3270 3924 4045 4854 4905 5886 6540 7281 8090 8829 9708 9810 11772 12135 14562 14715 16180 17658 19620 21843 24270 29124 29430 35316 36405 43686 44145 48540 58860 65529 72810 87372 88181 88290 109215 131058 145620 176362 176580 218430 262116 264543 327645 352724 436860 440905 529086 655290 793629 881810 1058172 1310580 1322715 1587258 1763620 2380887 2645430 3174516 3968145 4761774 5290860 7142661 7936290 9523548 11904435 14285322 15872580 23808870 28570644 35713305 47617740 71426610 142853220