Search a number
-
+
20073750 = 235453101
BaseRepresentation
bin100110010010…
…0110100010110
31101202212000020
41030210310112
520114330000
61554130010
7332424024
oct114446426
941685006
1020073750
1110370784
126880906
13420ab78
142947714
151b67ba0
hex1324d16

20073750 has 80 divisors (see below), whose sum is σ = 51620976. Its totient is φ = 5200000.

The previous prime is 20073749. The next prime is 20073769. The reversal of 20073750 is 5737002.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20073750.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198700 + ... + 198800.

Almost surely, 220073750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20073750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25810488).

20073750 is an abundant number, since it is smaller than the sum of its proper divisors (31547226).

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

20073750 is a wasteful number, since it uses less digits than its factorization.

20073750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 20073750 is about 4480.3738683284. The cubic root of 20073750 is about 271.7749995550.

The spelling of 20073750 in words is "twenty million, seventy-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 101 106 125 150 159 202 250 265 303 318 375 505 530 606 625 750 795 1010 1250 1325 1515 1590 1875 2525 2650 3030 3750 3975 5050 5353 6625 7575 7950 10706 12625 13250 15150 16059 19875 25250 26765 32118 33125 37875 39750 53530 63125 66250 75750 80295 99375 126250 133825 160590 189375 198750 267650 378750 401475 669125 802950 1338250 2007375 3345625 4014750 6691250 10036875 20073750