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2002130424 = 2332713928579
BaseRepresentation
bin111011101010110…
…0001010111111000
312011112100202121200
41313111201113320
513100021133144
6530400334200
7100420553640
oct16725412770
95145322550
102002130424
11938172248
1247a614360
1325ba41c78
1414dc91520
15bab83c69
hex775615f8

2002130424 has 96 divisors (see below), whose sum is σ = 6241872000. Its totient is φ = 567902016.

The previous prime is 2002130423. The next prime is 2002130441. The reversal of 2002130424 is 4240312002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002130397 and 2002130406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002130423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55767 + ... + 84345.

It is an arithmetic number, because the mean of its divisors is an integer number (65019500).

Almost surely, 22002130424 is an apocalyptic number.

2002130424 is a gapful number since it is divisible by the number (24) 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 2002130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120936000).

2002130424 is an abundant number, since it is smaller than the sum of its proper divisors (4239741576).

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

2002130424 is a wasteful number, since it uses less digits than its factorization.

2002130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28737 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002130424 is about 44745.1720747613. The cubic root of 2002130424 is about 1260.3682521512.

Adding to 2002130424 its reverse (4240312002), we get a palindrome (6242442426).

The spelling of 2002130424 in words is "two billion, two million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 139 168 252 278 417 504 556 834 973 1112 1251 1668 1946 2502 2919 3336 3892 5004 5838 7784 8757 10008 11676 17514 23352 28579 35028 57158 70056 85737 114316 171474 200053 228632 257211 342948 400106 514422 600159 685896 800212 1028844 1200318 1600424 1800477 2057688 2400636 3600954 3972481 4801272 7201908 7944962 11917443 14403816 15889924 23834886 27807367 31779848 35752329 47669772 55614734 71504658 83422101 95339544 111229468 143009316 166844202 222458936 250266303 286018632 333688404 500532606 667376808 1001065212 2002130424