Search a number
-
+
20032380 = 2233537097
BaseRepresentation
bin100110001101…
…0101101111100
31101200202021000
41030122231330
520112014010
61553210300
7332162304
oct114325574
941622230
1020032380
1110342695
126860990
1341c50a4
142936604
151b5a7c0
hex131ab7c

20032380 has 48 divisors (see below), whose sum is σ = 62324640. Its totient is φ = 5341824.

The previous prime is 20032373. The next prime is 20032381. The reversal of 20032380 is 8323002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18009 + ... + 19088.

It is an arithmetic number, because the mean of its divisors is an integer number (1298430).

Almost surely, 220032380 is an apocalyptic number.

20032380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20032380 is an abundant number, since it is smaller than the sum of its proper divisors (42292260).

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

20032380 is a wasteful number, since it uses less digits than its factorization.

20032380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37115 (or 37107 counting only the distinct ones).

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

The square root of 20032380 is about 4475.7546849665. The cubic root of 20032380 is about 271.5881707465.

Adding to 20032380 its reverse (8323002), we get a palindrome (28355382).

The spelling of 20032380 in words is "twenty million, thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 37097 74194 111291 148388 185485 222582 333873 370970 445164 556455 667746 741940 1001619 1112910 1335492 1669365 2003238 2225820 3338730 4006476 5008095 6677460 10016190 20032380