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2091805128 = 233375932333
BaseRepresentation
bin111110010101110…
…0110100111001000
312101210002201012000
41330223212213020
513241000231003
6543322351000
7102560023140
oct17453464710
95353081160
102091805128
11983851176
124a465b460
132744abb1a
1415bb55920
15c39991a3
hex7cae69c8

2091805128 has 128 divisors (see below), whose sum is σ = 6654700800. Its totient is φ = 596395008.

The previous prime is 2091805091. The next prime is 2091805129. The reversal of 2091805128 is 8215081902.

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

It is a junction number, because it is equal to n+sod(n) for n = 2091805092 and 2091805101.

It is not an unprimeable number, because it can be changed into a prime (2091805129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 895450 + ... + 897782.

It is an arithmetic number, because the mean of its divisors is an integer number (51989850).

Almost surely, 22091805128 is an apocalyptic number.

2091805128 is a gapful number since it is divisible by the number (28) 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 2091805128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327350400).

2091805128 is an abundant number, since it is smaller than the sum of its proper divisors (4562895672).

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

2091805128 is a wasteful number, since it uses less digits than its factorization.

2091805128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2091805128 is about 45736.2561651039. The cubic root of 2091805128 is about 1278.9112502944.

The spelling of 2091805128 in words is "two billion, ninety-one million, eight hundred five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 593 756 1186 1512 1779 2333 2372 3558 4151 4666 4744 5337 6999 7116 8302 9332 10674 12453 13998 14232 16011 16331 16604 18664 20997 21348 24906 27996 32022 32662 33208 37359 41994 42696 48993 49812 55992 62991 64044 65324 74718 83988 97986 99624 112077 125982 128088 130648 146979 149436 167976 195972 224154 251964 293958 298872 391944 440937 448308 503928 587916 881874 896616 1175832 1383469 1763748 2766938 3527496 4150407 5533876 8300814 9684283 11067752 12451221 16601628 19368566 24902442 29052849 33203256 37353663 38737132 49804884 58105698 74707326 77474264 87158547 99609768 116211396 149414652 174317094 232422792 261475641 298829304 348634188 522951282 697268376 1045902564 2091805128