Search a number
-
+
20301750 = 2325371289
BaseRepresentation
bin100110101110…
…0011110110110
31102012102202200
41031130132312
520144124000
62003045330
7334363530
oct115343666
942172680
1020301750
1110507007
126970846
13428a891
1429a6850
151bb0500
hex135c7b6

20301750 has 96 divisors (see below), whose sum is σ = 62786880. Its totient is φ = 4636800.

The previous prime is 20301739. The next prime is 20301751. The reversal of 20301750 is 5710302.

It is a super-2 number, since 2×203017502 = 824322106125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15106 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (654030).

Almost surely, 220301750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31393440).

20301750 is an abundant number, since it is smaller than the sum of its proper divisors (42485130).

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

20301750 is a wasteful number, since it uses less digits than its factorization.

20301750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 20301750 is about 4505.7463310755. The cubic root of 20301750 is about 272.8000790470.

The spelling of 20301750 in words is "twenty million, three hundred one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 450 525 630 750 875 1050 1125 1289 1575 1750 2250 2578 2625 3150 3867 5250 6445 7734 7875 9023 11601 12890 15750 18046 19335 23202 27069 32225 38670 45115 54138 58005 64450 81207 90230 96675 116010 135345 161125 162414 193350 225575 270690 290025 322250 406035 451150 483375 580050 676725 812070 966750 1127875 1353450 1450125 2030175 2255750 2900250 3383625 4060350 6767250 10150875 20301750