Search a number
-
+
20152350 = 23252192357
BaseRepresentation
bin100110011100…
…0000000011110
31101220211211100
41030320000132
520124333400
61555533530
7333202131
oct114700036
941824740
1020152350
1110414839
1268ba2a6
13423788a
142968218
151b81100
hex133801e

20152350 has 72 divisors (see below), whose sum is σ = 57016440. Its totient is φ = 5088960.

The previous prime is 20152343. The next prime is 20152351. The reversal of 20152350 is 5325102.

It is a happy number.

It is a super-2 number, since 2×201523502 = 812234421045000, 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 (20152351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7372 + ... + 9728.

It is an arithmetic number, because the mean of its divisors is an integer number (791895).

Almost surely, 220152350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20152350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28508220).

20152350 is an abundant number, since it is smaller than the sum of its proper divisors (36864090).

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

20152350 is a wasteful number, since it uses less digits than its factorization.

20152350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20152350 is about 4489.1368880888. The cubic root of 20152350 is about 272.1292548167.

Adding to 20152350 its reverse (5325102), we get a palindrome (25477452).

It can be divided in two parts, 20152 and 350, that added together give a palindrome (20502).

The spelling of 20152350 in words is "twenty million, one hundred fifty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2357 2850 4275 4714 7071 8550 11785 14142 21213 23570 35355 42426 44783 58925 70710 89566 106065 117850 134349 176775 212130 223915 268698 353550 403047 447830 530325 671745 806094 1060650 1119575 1343490 2015235 2239150 3358725 4030470 6717450 10076175 20152350