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2002130396 = 2272194312503
BaseRepresentation
bin111011101010110…
…0001010111011100
312011112100202120122
41313111201113130
513100021133041
6530400334112
7100420553600
oct16725412734
95145322518
102002130396
11938172222
1247a614338
1325ba41c56
1414dc91500
15bab83c4b
hex775615dc

2002130396 has 72 divisors (see below), whose sum is σ = 4390404480. Its totient is φ = 793927008.

The previous prime is 2002130387. The next prime is 2002130401. The reversal of 2002130396 is 6930312002.

It is a super-2 number, since 2×20021303962 = 8017052245174233632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153881 + ... + 166383.

It is an arithmetic number, because the mean of its divisors is an integer number (60977840).

Almost surely, 22002130396 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 2002130396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195202240).

2002130396 is an abundant number, since it is smaller than the sum of its proper divisors (2388274084).

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

2002130396 is a wasteful number, since it uses less digits than its factorization.

2002130396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 2002130396 is about 44745.1717618784. The cubic root of 2002130396 is about 1260.3682462757.

Adding to 2002130396 its reverse (6930312002), we get a palindrome (8932442398).

The spelling of 2002130396 in words is "two billion, two million, one hundred thirty thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 43 49 76 86 98 133 172 196 266 301 532 602 817 931 1204 1634 1862 2107 3268 3724 4214 5719 8428 11438 12503 22876 25006 40033 50012 80066 87521 160132 175042 237557 350084 475114 537629 612647 950228 1075258 1225294 1662899 2150516 2450588 3325798 3763403 6651596 7526806 10214951 11640293 15053612 20429902 23280586 26343821 40859804 46561172 52687642 71504657 105375284 143009314 286018628 500532599 1001065198 2002130396