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1998593406 = 2331729372029
BaseRepresentation
bin111011100100000…
…0001110101111110
312011021201001202000
41313020001311332
513043114442111
6530152443130
7100345522635
oct16710016576
95137631660
101998593406
11936176897
124793a94a6
1325b0a4064
1414d61051c
15ba6d5c56
hex77201d7e

1998593406 has 128 divisors (see below), whose sum is σ = 4998672000. Its totient is φ = 588736512.

The previous prime is 1998593393. The next prime is 1998593407. The reversal of 1998593406 is 6043958991.

1998593406 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 593 + 40 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

1998593406 is a modest number, since divided by 593406 gives 1998 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998593407) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 984000 + ... + 986028.

It is an arithmetic number, because the mean of its divisors is an integer number (39052125).

Almost surely, 21998593406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1998593406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499336000).

1998593406 is an abundant number, since it is smaller than the sum of its proper divisors (3000078594).

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

1998593406 is a wasteful number, since it uses less digits than its factorization.

1998593406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 1998593406 is about 44705.6305849722. The cubic root of 1998593406 is about 1259.6256143929.

The spelling of 1998593406 in words is "one billion, nine hundred ninety-eight million, five hundred ninety-three thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 29 34 37 51 54 58 74 87 102 111 153 174 222 261 306 333 459 493 522 629 666 783 918 986 999 1073 1258 1479 1566 1887 1998 2029 2146 2958 3219 3774 4058 4437 5661 6087 6438 8874 9657 11322 12174 13311 16983 18241 18261 19314 26622 28971 33966 34493 36482 36522 54723 54783 57942 58841 68986 75073 103479 109446 109566 117682 150146 164169 176523 206958 225219 310437 328338 353046 450438 492507 529569 620874 675657 931311 985014 1000297 1059138 1276241 1351314 1588707 1862622 2000594 2026971 2177117 2552482 3000891 3177414 3828723 4053942 4354234 6001782 6531351 7657446 9002673 11486169 13062702 18005346 19594053 22972338 27008019 34458507 37010989 39188106 54016038 58782159 68917014 74021978 111032967 117564318 222065934 333098901 666197802 999296703 1998593406