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143486820 = 22325592229
BaseRepresentation
bin10001000110101…
…10111101100100
3100222222212220200
420203112331210
5243213034240
622123230500
73361421631
oct1043267544
9328885820
10143486820
1173aa3854
1240078430
132395b459
14150b1188
15c8e4930
hex88d6f64

143486820 has 108 divisors (see below), whose sum is σ = 444678780. Its totient is φ = 37450368.

The previous prime is 143486807. The next prime is 143486843. The reversal of 143486820 is 28684341.

143486820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 45239076 = 9912^2 + 6726^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 626466 + ... + 626694.

Almost surely, 2143486820 is an apocalyptic number.

143486820 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 143486820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222339390).

143486820 is an abundant number, since it is smaller than the sum of its proper divisors (301191960).

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

143486820 is a wasteful number, since it uses less digits than its factorization.

143486820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 143486820 is about 11978.5984155076. The cubic root of 143486820 is about 523.5248932479.

The spelling of 143486820 in words is "one hundred forty-three million, four hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 229 236 295 354 458 531 590 687 708 885 916 1062 1145 1180 1374 1770 2061 2124 2290 2655 2748 3435 3481 3540 4122 4580 5310 6870 6962 8244 10305 10443 10620 13511 13740 13924 17405 20610 20886 27022 31329 34810 40533 41220 41772 52215 54044 62658 67555 69620 81066 104430 121599 125316 135110 156645 162132 202665 208860 243198 270220 313290 405330 486396 607995 626580 797149 810660 1215990 1594298 2391447 2431980 3188596 3985745 4782894 7174341 7971490 9565788 11957235 14348682 15942980 23914470 28697364 35871705 47828940 71743410 143486820