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20147472 = 2432181773
BaseRepresentation
bin100110011011…
…0110100010000
31101220121010200
41030312310100
520124204342
61555455200
7333151662
oct114666420
941817120
1020147472
1110411104
1268b7500
1342355a7
142966532
151b7e94c
hex1336d10

20147472 has 60 divisors (see below), whose sum is σ = 56769804. Its totient is φ = 6670080.

The previous prime is 20147459. The next prime is 20147483. The reversal of 20147472 is 27474102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 19501056 = 804^2 + 4416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25678 + ... + 26450.

Almost surely, 220147472 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 20147472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28384902).

20147472 is an abundant number, since it is smaller than the sum of its proper divisors (36622332).

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

20147472 is a wasteful number, since it uses less digits than its factorization.

20147472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 20147472 is about 4488.5935436393. The cubic root of 20147472 is about 272.1072961928.

The spelling of 20147472 in words is "twenty million, one hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 773 1086 1448 1546 1629 2172 2319 2896 3092 3258 4344 4638 6184 6516 6957 8688 9276 12368 13032 13914 18552 26064 27828 37104 55656 111312 139913 279826 419739 559652 839478 1119304 1259217 1678956 2238608 2518434 3357912 5036868 6715824 10073736 20147472