Search a number
-
+
20153313 = 331723283
BaseRepresentation
bin100110011100…
…0001111100001
31101220220011000
41030320033201
520124401223
61555542213
7333205005
oct114701741
941826130
1020153313
1110415534
1268ba969
13423814b
142968705
151b81543
hex13383e1

20153313 has 48 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 11949696.

The previous prime is 20153299. The next prime is 20153321. The reversal of 20153313 is 31335102.

It is not a de Polignac number, because 20153313 - 216 = 20087777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20153323) 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, 242770 + ... + 242852.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 220153313 is an apocalyptic number.

20153313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20153313 is a deficient number, since it is larger than the sum of its proper divisors (13292127).

20153313 is a wasteful number, since it uses less digits than its factorization.

20153313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 20153313 is about 4489.2441457332. The cubic root of 20153313 is about 272.1335894030.

Adding to 20153313 its reverse (31335102), we get a palindrome (51488415).

The spelling of 20153313 in words is "twenty million, one hundred fifty-three thousand, three hundred thirteen".

Divisors: 1 3 9 17 23 27 51 69 83 153 207 249 391 459 529 621 747 1173 1411 1587 1909 2241 3519 4233 4761 5727 8993 10557 12699 14283 17181 26979 32453 38097 43907 51543 80937 97359 131721 242811 292077 395163 746419 876231 1185489 2239257 6717771 20153313