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2006573148 = 223452111887
BaseRepresentation
bin111011110011001…
…1110000001011100
312011211201110220000
41313212132001130
513102140320043
6531035454300
7100503406326
oct16746360134
95154643800
102006573148
1193a727118
1247bbb7390
1325c9391b8
141506ca616
15bb2602d3
hex7799e05c

2006573148 has 60 divisors (see below), whose sum is σ = 5256088992. Its totient is φ = 667517760.

The previous prime is 2006573141. The next prime is 2006573171. The reversal of 2006573148 is 8413756002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006573141) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 162861 + ... + 174747.

Almost surely, 22006573148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006573148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628044496).

2006573148 is an abundant number, since it is smaller than the sum of its proper divisors (3249515844).

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

2006573148 is a wasteful number, since it uses less digits than its factorization.

2006573148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2006573148 is about 44794.7892951848. The cubic root of 2006573148 is about 1261.2998151131.

The spelling of 2006573148 in words is "two billion, six million, five hundred seventy-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 521 1042 1563 2084 3126 4689 6252 9378 11887 14067 18756 23774 28134 35661 42201 47548 56268 71322 84402 106983 142644 168804 213966 320949 427932 641898 962847 1283796 1925694 3851388 6193127 12386254 18579381 24772508 37158762 55738143 74317524 111476286 167214429 222952572 334428858 501643287 668857716 1003286574 2006573148