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2001230406 = 232743431857
BaseRepresentation
bin111011101001000…
…0101101001000110
312011110200001000200
41313102011221012
513044303333111
6530325151330
7100410114660
oct16722055106
95143601020
102001230406
1193770802a
1247a25b546
1325b7b8406
1414dad9530
15baa57256
hex77485a46

2001230406 has 96 divisors (see below), whose sum is σ = 5088365568. Its totient is φ = 556536960.

The previous prime is 2001230393. The next prime is 2001230419. The reversal of 2001230406 is 6040321002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001230393) and next prime (2001230419).

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 47 ways as a sum of consecutive naturals, for example, 2334730 + ... + 2335586.

It is an arithmetic number, because the mean of its divisors is an integer number (53003808).

Almost surely, 22001230406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001230406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544182784).

2001230406 is an abundant number, since it is smaller than the sum of its proper divisors (3087135162).

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

2001230406 is a wasteful number, since it uses less digits than its factorization.

2001230406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

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

The square root of 2001230406 is about 44735.1137921879. The cubic root of 2001230406 is about 1260.1793659997.

Adding to 2001230406 its reverse (6040321002), we get a palindrome (8041551408).

The spelling of 2001230406 in words is "two billion, one million, two hundred thirty thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 431 602 774 857 862 903 1293 1714 1806 2571 2586 2709 3017 3879 5142 5418 5999 6034 7713 7758 9051 11998 15426 17997 18102 18533 27153 35994 36851 37066 53991 54306 55599 73702 107982 110553 111198 129731 166797 221106 257957 259462 331659 333594 369367 389193 515914 663318 738734 773871 778386 1108101 1167579 1547742 2216202 2321613 2335158 2585569 3324303 4643226 5171138 6648606 7756707 15513414 15882781 23270121 31765562 46540242 47648343 95296686 111179467 142945029 222358934 285890058 333538401 667076802 1000615203 2001230406