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406075230 = 232511439539
BaseRepresentation
bin11000001101000…
…011011101011110
31001022002202111100
4120031003131132
51312423401410
6104143333530
713030403541
oct3015033536
91038082440
10406075230
11199245370
12b3bb12a6
136618a902
143bd06858
15259b38c0
hex1834375e

406075230 has 96 divisors (see below), whose sum is σ = 1178686080. Its totient is φ = 96143040.

The previous prime is 406075223. The next prime is 406075279. The reversal of 406075230 is 32570604.

It is a happy number.

406075230 is a `hidden beast` number, since 4 + 0 + 607 + 52 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406075194 and 406075203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37801 + ... + 47339.

It is an arithmetic number, because the mean of its divisors is an integer number (12277980).

Almost surely, 2406075230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406075230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589343040).

406075230 is an abundant number, since it is smaller than the sum of its proper divisors (772610850).

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

406075230 is a wasteful number, since it uses less digits than its factorization.

406075230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 406075230 is about 20151.3083942458. The cubic root of 406075230 is about 740.5177956245.

The spelling of 406075230 in words is "four hundred six million, seventy-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 3870 4257 4730 7095 8514 9539 14190 19078 21285 28617 42570 47695 57234 85851 95390 104929 143085 171702 209858 286170 314787 410177 429255 524645 629574 820354 858510 944361 1049290 1230531 1573935 1888722 2050885 2461062 3147870 3691593 4101770 4511947 4721805 6152655 7383186 9023894 9443610 12305310 13535841 18457965 22559735 27071682 36915930 40607523 45119470 67679205 81215046 135358410 203037615 406075230