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19801088 = 21061317
BaseRepresentation
bin100101110001…
…0010000000000
31101020222222122
41023202100000
520032113323
61544223412
7330210056
oct113422000
941228878
1019801088
11101a493a
12676ab68
134143a28
1428b61d6
151b11ec8
hex12e2400

19801088 has 44 divisors (see below), whose sum is σ = 40358652. Its totient is φ = 9707520.

The previous prime is 19801081. The next prime is 19801123. The reversal of 19801088 is 88010891.

It can be written as a sum of positive squares in 2 ways, for example, as 861184 + 18939904 = 928^2 + 4352^2 .

It is not an unprimeable number, because it can be changed into a prime (19801081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62306 + ... + 62622.

Almost surely, 219801088 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 19801088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179326).

19801088 is an abundant number, since it is smaller than the sum of its proper divisors (20557564).

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

19801088 is an equidigital number, since it uses as much as digits as its factorization.

19801088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 19801088 is about 4449.8413454864. The cubic root of 19801088 is about 270.5388780429.

It can be divided in two parts, 1 and 9801088, that added together give a palindrome (9801089).

The spelling of 19801088 in words is "nineteen million, eight hundred one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 317 488 512 634 976 1024 1268 1952 2536 3904 5072 7808 10144 15616 19337 20288 31232 38674 40576 62464 77348 81152 154696 162304 309392 324608 618784 1237568 2475136 4950272 9900544 19801088