Search a number
-
+
123532020 = 223351032221
BaseRepresentation
bin1110101110011…
…11001011110100
322121110002002000
413113033023310
5223111011040
620131415300
73030001443
oct727171364
9277402060
10123532020
1163804487
1235454530
131c792791
1412598d5a
15aca2130
hex75cf2f4

123532020 has 96 divisors (see below), whose sum is σ = 388227840. Its totient is φ = 32607360.

The previous prime is 123532009. The next prime is 123532037. The reversal of 123532020 is 20235321.

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 = 123531984 and 123532002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54510 + ... + 56730.

It is an arithmetic number, because the mean of its divisors is an integer number (4044040).

Almost surely, 2123532020 is an apocalyptic number.

123532020 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 123532020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194113920).

123532020 is an abundant number, since it is smaller than the sum of its proper divisors (264695820).

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

123532020 is a wasteful number, since it uses less digits than its factorization.

123532020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 123532020 is about 11114.4959399876. The cubic root of 123532020 is about 498.0349808495.

Adding to 123532020 its reverse (20235321), we get a palindrome (143767341).

The spelling of 123532020 in words is "one hundred twenty-three million, five hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2221 2781 3090 3708 4442 4635 5562 6180 6663 8884 9270 11105 11124 13326 13905 18540 19989 22210 26652 27810 33315 39978 44420 55620 59967 66630 79956 99945 119934 133260 199890 228763 239868 299835 399780 457526 599670 686289 915052 1143815 1199340 1372578 2058867 2287630 2745156 3431445 4117734 4575260 6176601 6862890 8235468 10294335 12353202 13725780 20588670 24706404 30883005 41177340 61766010 123532020