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2019872 = 25174779
BaseRepresentation
bin111101101001000100000
310210121202002
413231020200
51004113442
6111143132
723111561
oct7551040
93717662
102019872
11115a618
12814aa8
135594ba
143a8168
1529d732
hex1ed220

2019872 has 48 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 918528.

The previous prime is 2019869. The next prime is 2019881. The reversal of 2019872 is 2789102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25529 + ... + 25607.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

22019872 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 2019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

2019872 is an abundant number, since it is smaller than the sum of its proper divisors (2334688).

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

2019872 is a wasteful number, since it uses less digits than its factorization.

2019872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 2019872 is about 1421.2220093990. Note that the first 3 decimals coincide. The cubic root of 2019872 is about 126.4080163692.

The spelling of 2019872 in words is "two million, nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 47 68 79 94 136 158 188 272 316 376 544 632 752 799 1264 1343 1504 1598 2528 2686 3196 3713 5372 6392 7426 10744 12784 14852 21488 25568 29704 42976 59408 63121 118816 126242 252484 504968 1009936 2019872