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232020126 = 23413292131
BaseRepresentation
bin11011101010001…
…01100010011110
3121011120211210000
431311011202132
5433344121001
635004555130
75515065342
oct1565054236
9534524700
10232020126
11109a73178
1265852aa6
13390b8920
1422b59622
1515581a86
hexdd4589e

232020126 has 120 divisors (see below), whose sum is σ = 584287704. Its totient is φ = 68402880.

The previous prime is 232020121. The next prime is 232020137. The reversal of 232020126 is 621020232.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 232020099 and 232020108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232020121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1771081 + ... + 1771211.

Almost surely, 2232020126 is an apocalyptic number.

232020126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 232020126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292143852).

232020126 is an abundant number, since it is smaller than the sum of its proper divisors (352267578).

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

232020126 is a wasteful number, since it uses less digits than its factorization.

232020126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232020126 is about 15232.2068657171. The cubic root of 232020126 is about 614.4811328557.

Adding to 232020126 its reverse (621020232), we get a palindrome (853040358).

The spelling of 232020126 in words is "two hundred thirty-two million, twenty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 131 162 174 234 261 262 351 377 393 522 702 754 783 786 841 1053 1131 1179 1566 1682 1703 2106 2262 2349 2358 2523 3393 3406 3537 3799 4698 5046 5109 6786 7074 7569 7598 10179 10218 10611 10933 11397 15138 15327 20358 21222 21866 22707 22794 30537 30654 32799 34191 45414 45981 49387 61074 65598 68121 68382 91962 98397 98774 102573 110171 136242 137943 148161 196794 205146 220342 275886 295191 296322 307719 330513 444483 590382 615438 661026 885573 888966 991539 1333449 1432223 1771146 1983078 2666898 2864446 2974617 4000347 4296669 5949234 8000694 8593338 8923851 12890007 17847702 25780014 38670021 77340042 116010063 232020126