Search a number
-
+
20148318 = 233794723
BaseRepresentation
bin100110011011…
…1000001011110
31101220122022000
41030313001132
520124221233
61555503130
7333154311
oct114670136
941818260
1020148318
1110411803
1268b7aa6
134235aa8
142966978
151b7ed13
hex133705e

20148318 has 32 divisors (see below), whose sum is σ = 45350400. Its totient is φ = 6629688.

The previous prime is 20148269. The next prime is 20148329. The reversal of 20148318 is 81384102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20148291 and 20148300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905 + ... + 6627.

It is an arithmetic number, because the mean of its divisors is an integer number (1417200).

Almost surely, 220148318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20148318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22675200).

20148318 is an abundant number, since it is smaller than the sum of its proper divisors (25202082).

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

20148318 is a wasteful number, since it uses less digits than its factorization.

20148318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20148318 is about 4488.6877815237. The cubic root of 20148318 is about 272.1111047691. Note that the first 4 decimals are identical.

The spelling of 20148318 in words is "twenty million, one hundred forty-eight thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 4723 9446 14169 28338 42507 85014 127521 255042 373117 746234 1119351 2238702 3358053 6716106 10074159 20148318