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2003800896 = 26338231409
BaseRepresentation
bin111011101101111…
…1001001101000000
312011122111122002000
41313123321031000
513100433112041
6530500224000
7100441012056
oct16733711500
95148448060
102003800896
119391032a9
1247b09b000
1325c1a8406
141501a81d6
15badb3bb6
hex776f9340

2003800896 has 112 divisors (see below), whose sum is σ = 5902147200. Its totient is φ = 666648576.

The previous prime is 2003800889. The next prime is 2003800921. The reversal of 2003800896 is 6980083002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2003800896.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1421440 + ... + 1422848.

Almost surely, 22003800896 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 2003800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951073600).

2003800896 is an abundant number, since it is smaller than the sum of its proper divisors (3898346304).

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

2003800896 is a wasteful number, since it uses less digits than its factorization.

2003800896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2003800896 is about 44763.8346882838. The cubic root of 2003800896 is about 1260.7186829678.

Adding to 2003800896 its reverse (6980083002), we get a palindrome (8983883898).

The spelling of 2003800896 in words is "two billion, three million, eight hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 823 864 1409 1646 1728 2469 2818 3292 4227 4938 5636 6584 7407 8454 9876 11272 12681 13168 14814 16908 19752 22221 22544 25362 26336 29628 33816 38043 39504 44442 45088 50724 52672 59256 67632 76086 79008 88884 90176 101448 118512 135264 152172 158016 177768 202896 237024 270528 304344 355536 405792 474048 608688 711072 811584 1159607 1217376 1422144 2319214 2434752 3478821 4638428 6957642 9276856 10436463 13915284 18553712 20872926 27830568 31309389 37107424 41745852 55661136 62618778 74214848 83491704 111322272 125237556 166983408 222644544 250475112 333966816 500950224 667933632 1001900448 2003800896