Search a number
-
+
20262312 = 233571489
BaseRepresentation
bin100110101001…
…0110110101000
31102010102200000
41031102312220
520141343222
62002143000
7334140540
oct115226650
942112600
1020262312
111048a414
126951a60
134275945
142996320
151ba39ac
hex1352da8

20262312 has 96 divisors (see below), whose sum is σ = 65083200. Its totient is φ = 5785344.

The previous prime is 20262301. The next prime is 20262343. The reversal of 20262312 is 21326202.

It is a super-2 number, since 2×202623122 = 821122575170688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12864 + ... + 14352.

It is an arithmetic number, because the mean of its divisors is an integer number (677950).

Almost surely, 220262312 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 20262312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32541600).

20262312 is an abundant number, since it is smaller than the sum of its proper divisors (44820888).

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

20262312 is a wasteful number, since it uses less digits than its factorization.

20262312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20262312 is about 4501.3677921272. The cubic root of 20262312 is about 272.6233181992.

Adding to 20262312 its reverse (21326202), we get a palindrome (41588514).

The spelling of 20262312 in words is "twenty million, two hundred sixty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1489 1512 1701 1944 2268 2978 3402 4467 4536 5956 6804 8934 10423 11912 13401 13608 17868 20846 26802 31269 35736 40203 41692 53604 62538 80406 83384 93807 107208 120609 125076 160812 187614 241218 250152 281421 321624 361827 375228 482436 562842 723654 750456 844263 964872 1125684 1447308 1688526 2251368 2532789 2894616 3377052 5065578 6754104 10131156 20262312