Search a number
-
+
20105352 = 2332299629
BaseRepresentation
bin100110010110…
…0100010001000
31101211110100200
41030230202020
520121332402
61554532200
7332615121
oct114544210
941743320
1020105352
11103924a3
126897060
13421c377
142955048
151b7221c
hex132c888

20105352 has 48 divisors (see below), whose sum is σ = 56335500. Its totient is φ = 6470016.

The previous prime is 20105347. The next prime is 20105353. The reversal of 20105352 is 25350102.

20105352 = T1163 + T1164 + ... + T1191.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17690436 + 2414916 = 4206^2 + 1554^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20105353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2727 + ... + 6902.

Almost surely, 220105352 is an apocalyptic number.

It is an amenable number.

20105352 is an abundant number, since it is smaller than the sum of its proper divisors (36230148).

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

20105352 is a wasteful number, since it uses less digits than its factorization.

20105352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9663 counting only the distinct ones).

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

The square root of 20105352 is about 4483.8991960123. The cubic root of 20105352 is about 271.9175427679.

Adding to 20105352 its reverse (25350102), we get a palindrome (45455454).

The spelling of 20105352 in words is "twenty million, one hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 9629 19258 28887 38516 57774 77032 86661 115548 173322 231096 279241 346644 558482 693288 837723 1116964 1675446 2233928 2513169 3350892 5026338 6701784 10052676 20105352