Search a number
-
+
20147024 = 2431151269
BaseRepresentation
bin100110011011…
…0101101010000
31101220120112002
41030312231100
520124201044
61555453132
7333150452
oct114665520
941816462
1020147024
1110410837
1268b71a8
134235321
1429662d2
151b7e74e
hex1336b50

20147024 has 40 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 9648000.

The previous prime is 20147021. The next prime is 20147033. The reversal of 20147024 is 42074102.

It is a junction number, because it is equal to n+sod(n) for n = 20146987 and 20147005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20147021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74762 + ... + 75030.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 220147024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20147024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

20147024 is an abundant number, since it is smaller than the sum of its proper divisors (20564656).

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

20147024 is a wasteful number, since it uses less digits than its factorization.

20147024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 20147024 is about 4488.5436390883. The cubic root of 20147024 is about 272.1052793149.

The spelling of 20147024 in words is "twenty million, one hundred forty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 31 62 124 151 248 269 302 496 538 604 1076 1208 2152 2416 4304 4681 8339 9362 16678 18724 33356 37448 40619 66712 74896 81238 133424 162476 324952 649904 1259189 2518378 5036756 10073512 20147024