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2006290080 = 25335464419
BaseRepresentation
bin111011110010101…
…1000111010100000
312011211012002121000
41313211120322200
513102102240310
6531025432000
7100501120134
oct16745307240
95154162530
102006290080
1193a553483
1247ba9b600
1325c86a3c2
141506553c4
15bb2064c0
hex77958ea0

2006290080 has 96 divisors (see below), whose sum is σ = 7022030400. Its totient is φ = 535009536.

The previous prime is 2006290043. The next prime is 2006290127. The reversal of 2006290080 is 800926002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227890 + ... + 236529.

It is an arithmetic number, because the mean of its divisors is an integer number (73146150).

Almost surely, 22006290080 is an apocalyptic number.

2006290080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006290080 is an abundant number, since it is smaller than the sum of its proper divisors (5015740320).

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

2006290080 is a wasteful number, since it uses less digits than its factorization.

2006290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464443 (or 464429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2006290080 is about 44791.6295751784. The cubic root of 2006290080 is about 1261.2405016502.

The spelling of 2006290080 in words is "two billion, six million, two hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 464419 928838 1393257 1857676 2322095 2786514 3715352 4179771 4644190 5573028 6966285 7430704 8359542 9288380 11146056 12539313 13932570 14861408 16719084 18576760 20898855 22292112 25078626 27865140 33438168 37153520 41797710 44584224 50157252 55730280 62696565 66876336 74307040 83595420 100314504 111460560 125393130 133752672 167190840 200629008 222921120 250786260 334381680 401258016 501572520 668763360 1003145040 2006290080