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20418480 = 2434523137
BaseRepresentation
bin100110111100…
…0111110110000
31102102100220000
41031320332300
520211342410
62005350000
7335361045
oct115707660
942370800
1020418480
1110586785
126a08300
1342cba54
1429d71cc
151bd4dc0
hex1378fb0

20418480 has 200 divisors, whose sum is σ = 74539872. Its totient is φ = 5170176.

The previous prime is 20418467. The next prime is 20418481. The reversal of 20418480 is 8481402.

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

It is not an unprimeable number, because it can be changed into a prime (20418481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148972 + ... + 149108.

Almost surely, 220418480 is an apocalyptic number.

20418480 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 20418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37269936).

20418480 is an abundant number, since it is smaller than the sum of its proper divisors (54121392).

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

20418480 is a wasteful number, since it uses less digits than its factorization.

20418480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20418480 is about 4518.6812235430. The cubic root of 20418480 is about 273.3219243040.

Adding to 20418480 its reverse (8481402), we get a palindrome (28899882).

The spelling of 20418480 in words is "twenty million, four hundred eighteen thousand, four hundred eighty".