Search a number
-
+
20104100 = 22521271583
BaseRepresentation
bin100110010110…
…0001110100100
31101211101122022
41030230032210
520121312400
61554522312
7332611352
oct114541644
941741568
1020104100
1110391565
126896398
13421b923
1429547d2
151b71b85
hex132c3a4

20104100 has 36 divisors (see below), whose sum is σ = 43997184. Its totient is φ = 7973280.

The previous prime is 20104067. The next prime is 20104129. The reversal of 20104100 is 140102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11909 + ... + 13491.

It is an arithmetic number, because the mean of its divisors is an integer number (1222144).

Almost surely, 220104100 is an apocalyptic number.

20104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592).

20104100 is an abundant number, since it is smaller than the sum of its proper divisors (23893084).

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

20104100 is a wasteful number, since it uses less digits than its factorization.

20104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 20104100 is about 4483.7595832069. The cubic root of 20104100 is about 271.9118983698.

Adding to 20104100 its reverse (140102), we get a palindrome (20244202).

The spelling of 20104100 in words is "twenty million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 1583 2540 3166 3175 6332 6350 7915 12700 15830 31660 39575 79150 158300 201041 402082 804164 1005205 2010410 4020820 5026025 10052050 20104100