Search a number
-
+
20160448 = 267114091
BaseRepresentation
bin100110011100…
…1111111000000
31101221020221021
41030321333000
520130113243
62000035224
7333234550
oct114717700
941836837
1020160448
111041a930
126902b14
13423b479
14296b160
151b836ed
hex1339fc0

20160448 has 56 divisors (see below), whose sum is σ = 49889664. Its totient is φ = 7852800.

The previous prime is 20160433. The next prime is 20160457. The reversal of 20160448 is 84406102.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 2883 + ... + 6973.

Almost surely, 220160448 is an apocalyptic number.

20160448 is a gapful number since it is divisible by the number (28) 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 20160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24944832).

20160448 is an abundant number, since it is smaller than the sum of its proper divisors (29729216).

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

20160448 is a wasteful number, since it uses less digits than its factorization.

20160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20160448 is about 4490.0387526167. The cubic root of 20160448 is about 272.1657006505.

The spelling of 20160448 in words is "twenty million, one hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4091 4928 8182 16364 28637 32728 45001 57274 65456 90002 114548 130912 180004 229096 261824 315007 360008 458192 630014 720016 916384 1260028 1440032 1832768 2520056 2880064 5040112 10080224 20160448