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20073000 = 233536691
BaseRepresentation
bin100110010010…
…0101000101000
31101202210222110
41030210220220
520114314000
61554122320
7332421603
oct114445050
941683873
1020073000
1110370162
1268803a0
13420a71c
14294733a
151b67850
hex1324a28

20073000 has 64 divisors (see below), whose sum is σ = 62637120. Its totient is φ = 5352000.

The previous prime is 20072993. The next prime is 20073007. The reversal of 20073000 is 37002.

It is an interprime number because it is at equal distance from previous prime (20072993) and next prime (20073007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20073007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346 + ... + 6345.

It is an arithmetic number, because the mean of its divisors is an integer number (978705).

Almost surely, 220073000 is an apocalyptic number.

20073000 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 20073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31318560).

20073000 is an abundant number, since it is smaller than the sum of its proper divisors (42564120).

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

20073000 is a wasteful number, since it uses less digits than its factorization.

20073000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 20073000 is about 4480.2901691743. The cubic root of 20073000 is about 271.7716148064.

The spelling of 20073000 in words is "twenty million, seventy-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6691 13382 20073 26764 33455 40146 53528 66910 80292 100365 133820 160584 167275 200730 267640 334550 401460 501825 669100 802920 836375 1003650 1338200 1672750 2007300 2509125 3345500 4014600 5018250 6691000 10036500 20073000