Search a number
-
+
20300412 = 2231133141
BaseRepresentation
bin100110101110…
…0001001111100
31102012100221010
41031130021330
520144103122
62003035220
7334356606
oct115341174
942170833
1020300412
1110506000
12696bb10
13428a0a2
1429a6176
151baee0c
hex135c27c

20300412 has 96 divisors (see below), whose sum is σ = 55093248. Its totient is φ = 5808000.

The previous prime is 20300411. The next prime is 20300419. The reversal of 20300412 is 21400302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495112 + ... + 495152.

It is an arithmetic number, because the mean of its divisors is an integer number (573888).

Almost surely, 220300412 is an apocalyptic number.

20300412 is a gapful number since it is divisible by the number (22) 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 20300412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27546624).

20300412 is an abundant number, since it is smaller than the sum of its proper divisors (34792836).

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

20300412 is a wasteful number, since it uses less digits than its factorization.

20300412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20300412 is about 4505.5978515620. The cubic root of 20300412 is about 272.7940858933.

Adding to 20300412 its reverse (21400302), we get a palindrome (41700714).

The spelling of 20300412 in words is "twenty million, three hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 41 44 62 66 82 93 121 123 124 132 164 186 242 246 341 363 372 451 484 492 682 726 902 1023 1271 1331 1353 1364 1452 1804 2046 2542 2662 2706 3751 3813 3993 4092 4961 5084 5324 5412 7502 7626 7986 9922 11253 13981 14883 15004 15252 15972 19844 22506 27962 29766 41261 41943 45012 54571 55924 59532 82522 83886 109142 123783 153791 163713 165044 167772 218284 247566 307582 327426 461373 495132 615164 654852 922746 1691701 1845492 3383402 5075103 6766804 10150206 20300412