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2003066880 = 2133516301
BaseRepresentation
bin111011101100100…
…0110000000000000
312011121010100012020
41313121012000000
513100241120010
6530432401440
7100431534063
oct16731060000
95147110166
102003066880
11938751881
1247a9a6280
1325bcac299
141500568da
15bacbb470
hex77646000

2003066880 has 112 divisors (see below), whose sum is σ = 6409815984. Its totient is φ = 534118400.

The previous prime is 2003066843. The next prime is 2003066899. The reversal of 2003066880 is 886603002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114730 + ... + 131030.

Almost surely, 22003066880 is an apocalyptic number.

2003066880 is a gapful number since it is divisible by the number (20) 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 2003066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204907992).

2003066880 is an abundant number, since it is smaller than the sum of its proper divisors (4406749104).

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

2003066880 is an equidigital number, since it uses as much as digits as its factorization.

2003066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16335 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2003066880 is about 44755.6351759195. The cubic root of 2003066880 is about 1260.5647254392.

Adding to 2003066880 its reverse (886603002), we get a palindrome (2889669882).

The spelling of 2003066880 in words is "two billion, three million, sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16301 20480 24576 30720 32602 40960 48903 61440 65204 81505 97806 122880 130408 163010 195612 244515 260816 326020 391224 489030 521632 652040 782448 978060 1043264 1304080 1564896 1956120 2086528 2608160 3129792 3912240 4173056 5216320 6259584 7824480 8346112 10432640 12519168 15648960 16692224 20865280 25038336 31297920 33384448 41730560 50076672 62595840 66768896 83461120 100153344 125191680 133537792 166922240 200306688 250383360 333844480 400613376 500766720 667688960 1001533440 2003066880