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20147632 = 2423531033
BaseRepresentation
bin100110011011…
…0110110110000
31101220121100121
41030312312300
520124211012
61555500024
7333152311
oct114666660
941817317
1020147632
111041123a
1268b7614
13423569b
142966608
151b7ea07
hex1336db0

20147632 has 40 divisors (see below), whose sum is σ = 41541984. Its totient is φ = 9444864.

The previous prime is 20147623. The next prime is 20147671. The reversal of 20147632 is 23674102.

It is a junction number, because it is equal to n+sod(n) for n = 20147597 and 20147606.

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, 18988 + ... + 20020.

Almost surely, 220147632 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 20147632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770992).

20147632 is an abundant number, since it is smaller than the sum of its proper divisors (21394352).

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

20147632 is a wasteful number, since it uses less digits than its factorization.

20147632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 20147632 is about 4488.6113665587. The cubic root of 20147632 is about 272.1080164991.

The spelling of 20147632 in words is "twenty million, one hundred forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1033 1219 2066 2438 4132 4876 8264 9752 16528 19504 23759 47518 54749 95036 109498 190072 218996 380144 437992 875984 1259227 2518454 5036908 10073816 20147632