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420133230 = 23451161773
BaseRepresentation
bin11001000010101…
…011100101101110
31002021112222110000
4121002223211232
51330023230410
6105404525130
713261034136
oct3102534556
91067488400
10420133230
111a6177350
12b88507a6
136907055a
143db25ac6
1526d3ddc0
hex190ab96e

420133230 has 160 divisors (see below), whose sum is σ = 1254214368. Its totient is φ = 100051200.

The previous prime is 420133213. The next prime is 420133243. The reversal of 420133230 is 32331024.

420133230 is a `hidden beast` number, since 420 + 13 + 3 + 230 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 543124 + ... + 543896.

Almost surely, 2420133230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627107184).

420133230 is an abundant number, since it is smaller than the sum of its proper divisors (834081138).

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

420133230 is a wasteful number, since it uses less digits than its factorization.

420133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420133230 is about 20497.1517533534. The cubic root of 420133230 is about 748.9664162605.

Adding to 420133230 its reverse (32331024), we get a palindrome (452464254).

The spelling of 420133230 in words is "four hundred twenty million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 61 66 81 90 99 110 122 135 162 165 183 198 270 297 305 330 366 405 495 549 594 610 671 773 810 891 915 990 1098 1342 1485 1546 1647 1782 1830 2013 2319 2745 2970 3294 3355 3865 4026 4455 4638 4941 5490 6039 6710 6957 7730 8235 8503 8910 9882 10065 11595 12078 13914 16470 17006 18117 20130 20871 23190 24705 25509 30195 34785 36234 41742 42515 47153 49410 51018 54351 60390 62613 69570 76527 85030 90585 94306 104355 108702 125226 127545 141459 153054 181170 208710 229581 235765 255090 271755 282918 313065 382635 424377 459162 471530 518683 543510 626130 688743 707295 765270 848754 1037366 1147905 1273131 1377486 1414590 1556049 2121885 2295810 2546262 2593415 3112098 3443715 3819393 4243770 4668147 5186830 6365655 6887430 7638786 7780245 9336294 12731310 14004441 15560490 19096965 23340735 28008882 38193930 42013323 46681470 70022205 84026646 140044410 210066615 420133230