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2006471360 = 26547711879
BaseRepresentation
bin111011110011000…
…0101001011000000
312011211112022021002
41313212011023000
513102124040420
6531033351132
7100502503505
oct16746051300
95154468232
102006471360
1193a6676a3
1247bb684a8
1325c901a7a
141506a14ac
15bb240075
hex779852c0

2006471360 has 112 divisors (see below), whose sum is σ = 4950927360. Its totient is φ = 774036480.

The previous prime is 2006471347. The next prime is 2006471381. The reversal of 2006471360 is 631746002.

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, 1066901 + ... + 1068779.

Almost surely, 22006471360 is an apocalyptic number.

2006471360 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 2006471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475463680).

2006471360 is an abundant number, since it is smaller than the sum of its proper divisors (2944456000).

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

2006471360 is a wasteful number, since it uses less digits than its factorization.

2006471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2006471360 is about 44793.6531218431. The cubic root of 2006471360 is about 1261.2784873158.

The spelling of 2006471360 in words is "two billion, six million, four hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 71 80 94 142 160 188 235 284 320 355 376 470 568 710 752 940 1136 1420 1504 1879 1880 2272 2840 3008 3337 3758 3760 4544 5680 6674 7516 7520 9395 11360 13348 15032 15040 16685 18790 22720 26696 30064 33370 37580 53392 60128 66740 75160 88313 106784 120256 133409 133480 150320 176626 213568 266818 266960 300640 353252 441565 533636 533920 601280 667045 706504 883130 1067272 1067840 1334090 1413008 1766260 2134544 2668180 2826016 3532520 4269088 5336360 5652032 6270223 7065040 8538176 10672720 12540446 14130080 21345440 25080892 28260160 31351115 42690880 50161784 62702230 100323568 125404460 200647136 250808920 401294272 501617840 1003235680 2006471360