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1006232660 = 225411976229
BaseRepresentation
bin111011111110011…
…110010001010100
32121010101220201022
4323332132101110
54030043421120
6243503020312
733635556626
oct7376362124
92533356638
101006232660
11476aa0544
12240b9a698
13130610054
14978d0c16
155d513025
hex3bf9e454

1006232660 has 48 divisors (see below), whose sum is σ = 2175964560. Its totient is φ = 390620160.

The previous prime is 1006232659. The next prime is 1006232677. The reversal of 1006232660 is 662326001.

It can be written as a sum of positive squares in 8 ways, for example, as 835396 + 1005397264 = 914^2 + 31708^2 .

It is a congruent number.

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, 158426 + ... + 164654.

It is an arithmetic number, because the mean of its divisors is an integer number (45332595).

Almost surely, 21006232660 is an apocalyptic number.

1006232660 is a gapful number since it is divisible by the number (10) 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 1006232660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087982280).

1006232660 is an abundant number, since it is smaller than the sum of its proper divisors (1169731900).

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

1006232660 is a wasteful number, since it uses less digits than its factorization.

1006232660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1006232660 is about 31721.1705332574. The cubic root of 1006232660 is about 1002.0732519890.

Adding to 1006232660 its reverse (662326001), we get a palindrome (1668558661).

The spelling of 1006232660 in words is "one billion, six million, two hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 197 205 394 410 788 820 985 1970 3940 6229 8077 12458 16154 24916 31145 32308 40385 62290 80770 124580 161540 255389 510778 1021556 1227113 1276945 2454226 2553890 4908452 5107780 6135565 12271130 24542260 50311633 100623266 201246532 251558165 503116330 1006232660