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2006015154 = 23111310912143
BaseRepresentation
bin111011110010001…
…0101110010110010
312011210200010110120
41313210111302302
513102014441104
6531015511110
7100465563453
oct16744256262
95153603416
102006015154
1193a385970
1247b988496
1325c7a2220
141505c312a
15bb19ecd9
hex77915cb2

2006015154 has 64 divisors (see below), whose sum is σ = 4719955968. Its totient is φ = 560347200.

The previous prime is 2006015129. The next prime is 2006015171. The reversal of 2006015154 is 4515106002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 935007 + ... + 937149.

It is an arithmetic number, because the mean of its divisors is an integer number (73749312).

Almost surely, 22006015154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006015154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359977984).

2006015154 is an abundant number, since it is smaller than the sum of its proper divisors (2713940814).

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

2006015154 is a wasteful number, since it uses less digits than its factorization.

2006015154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2006015154 is about 44788.5605260986. The cubic root of 2006015154 is about 1261.1828889036.

The spelling of 2006015154 in words is "two billion, six million, fifteen thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1091 2143 2182 3273 4286 6429 6546 12001 12858 14183 23573 24002 27859 28366 36003 42549 47146 55718 70719 72006 83577 85098 141438 156013 167154 306449 312026 468039 612898 919347 936078 1838694 2338013 4676026 7014039 14028078 25718143 30394169 51436286 60788338 77154429 91182507 154308858 182365014 334335859 668671718 1003007577 2006015154