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20442016 = 257213037
BaseRepresentation
bin100110111111…
…0101110100000
31102110120011201
41031332232200
520213121031
62010050544
7335516500
oct115765640
942416151
1020442016
11105a2431
126a19a54
13430968a
142a01a00
151bdbd61
hex137eba0

20442016 has 36 divisors (see below), whose sum is σ = 46819458. Its totient is φ = 8760192.

The previous prime is 20442011. The next prime is 20442053. The reversal of 20442016 is 61024402.

It can be written as a sum of positive squares in only one way, i.e., 16032016 + 4410000 = 4004^2 + 2100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20441984 and 20442002.

It is not an unprimeable number, because it can be changed into a prime (20442011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4951 + ... + 8086.

Almost surely, 220442016 is an apocalyptic number.

It is an amenable number.

20442016 is an abundant number, since it is smaller than the sum of its proper divisors (26377442).

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

20442016 is a wasteful number, since it uses less digits than its factorization.

20442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061 (or 13046 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20442016 is about 4521.2847731591. The cubic root of 20442016 is about 273.4269016692.

Adding to 20442016 its reverse (61024402), we get a palindrome (81466418).

The spelling of 20442016 in words is "twenty million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 13037 26074 52148 91259 104296 182518 208592 365036 417184 638813 730072 1277626 1460144 2555252 2920288 5110504 10221008 20442016