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646842840 = 233571940529
BaseRepresentation
bin100110100011100…
…000100111011000
31200002011000120020
4212203200213120
52311042432330
6144104030440
722013034120
oct4643404730
91602130506
10646842840
11302142666
12160762420
13a4019c57
1461c9bc80
153bbc2210
hex268e09d8

646842840 has 128 divisors (see below), whose sum is σ = 2334528000. Its totient is φ = 140064768.

The previous prime is 646842839. The next prime is 646842881. The reversal of 646842840 is 48248646.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 646842792 and 646842801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4305 + ... + 36224.

It is an arithmetic number, because the mean of its divisors is an integer number (18238500).

Almost surely, 2646842840 is an apocalyptic number.

646842840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646842840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167264000).

646842840 is an abundant number, since it is smaller than the sum of its proper divisors (1687685160).

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

646842840 is a wasteful number, since it uses less digits than its factorization.

646842840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40569 (or 40565 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 646842840 is about 25433.1051977536. The cubic root of 646842840 is about 864.8343385069.

The spelling of 646842840 in words is "six hundred forty-six million, eight hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 40529 81058 121587 162116 202645 243174 283703 324232 405290 486348 567406 607935 770051 810580 851109 972696 1134812 1215870 1418515 1540102 1621160 1702218 2269624 2310153 2431740 2837030 3080204 3404436 3850255 4255545 4620306 4863480 5390357 5674060 6160408 6808872 7700510 8511090 9240612 10780714 11348120 11550765 15401020 16171071 17022180 18481224 21561428 23101530 26951785 30802040 32342142 34044360 43122856 46203060 53903570 64684284 80855355 92406120 107807140 129368568 161710710 215614280 323421420 646842840