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20144480 = 255137919
BaseRepresentation
bin100110011011…
…0000101100000
31101220110000212
41030312011200
520124110410
61555433252
7333140156
oct114660540
941813025
1020144480
1110409934
1268b5828
134234115
1429653d6
151b7db05
hex1336160

20144480 has 48 divisors (see below), whose sum is σ = 47990880. Its totient is φ = 7990272.

The previous prime is 20144479. The next prime is 20144497. The reversal of 20144480 is 8444102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21461 + ... + 22379.

It is an arithmetic number, because the mean of its divisors is an integer number (999810).

Almost surely, 220144480 is an apocalyptic number.

20144480 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 20144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23995440).

20144480 is an abundant number, since it is smaller than the sum of its proper divisors (27846400).

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

20144480 is a wasteful number, since it uses less digits than its factorization.

20144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 20144480 is about 4488.2602420091. The cubic root of 20144480 is about 272.0938257628.

Adding to 20144480 its reverse (8444102), we get a palindrome (28588582).

The spelling of 20144480 in words is "twenty million, one hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 919 1096 1370 1838 2192 2740 3676 4384 4595 5480 7352 9190 10960 14704 18380 21920 29408 36760 73520 125903 147040 251806 503612 629515 1007224 1259030 2014448 2518060 4028896 5036120 10072240 20144480