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2006336280 = 2335135572309
BaseRepresentation
bin111011110010110…
…0100001100011000
312011211021102222010
41313211210030120
513102110230110
6531030425520
7100501401624
oct16745441430
95154242863
102006336280
1193a585163
1247bb022a0
1325c885440
14150668184
15bb215020
hex77964318

2006336280 has 128 divisors (see below), whose sum is σ = 6496459200. Its totient is φ = 492767232.

The previous prime is 2006336273. The next prime is 2006336281. The reversal of 2006336280 is 826336002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006336281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867766 + ... + 870074.

Almost surely, 22006336280 is an apocalyptic number.

2006336280 is a gapful number since it is divisible by the number (20) 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 2006336280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248229600).

2006336280 is an abundant number, since it is smaller than the sum of its proper divisors (4490122920).

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

2006336280 is a wasteful number, since it uses less digits than its factorization.

2006336280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2006336280 is about 44792.1452935668. The cubic root of 2006336280 is about 1261.2501826803.

The spelling of 2006336280 in words is "two billion, six million, three hundred thirty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 557 780 1114 1560 1671 2228 2309 2785 3342 4456 4618 5570 6684 6927 7241 8355 9236 11140 11545 13368 13854 14482 16710 18472 21723 22280 23090 27708 28964 30017 33420 34635 36205 43446 46180 55416 57928 60034 66840 69270 72410 86892 90051 92360 108615 120068 138540 144820 150085 173784 180102 217230 240136 277080 289640 300170 360204 434460 450255 600340 720408 868920 900510 1200680 1286113 1801020 2572226 3602040 3858339 5144452 6430565 7716678 10288904 12861130 15433356 16719469 19291695 25722260 30866712 33438938 38583390 50158407 51444520 66877876 77166780 83597345 100316814 133755752 154333560 167194690 200633628 250792035 334389380 401267256 501584070 668778760 1003168140 2006336280