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20738320 = 245259229
BaseRepresentation
bin100111100011…
…1000100010000
31110000121121221
41033013010100
520302111240
62020254424
7341162401
oct117070420
943017557
1020738320
1110785009
126b41414
1343b14c5
142a7b9a8
151c49a4a
hex13c7110

20738320 has 20 divisors (see below), whose sum is σ = 48216780. Its totient is φ = 8295296.

The previous prime is 20738303. The next prime is 20738321. The reversal of 20738320 is 2383702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13512976 + 7225344 = 3676^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (20738321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129535 + ... + 129694.

It is an arithmetic number, because the mean of its divisors is an integer number (2410839).

Almost surely, 220738320 is an apocalyptic number.

20738320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20738320 is an abundant number, since it is smaller than the sum of its proper divisors (27478460).

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

20738320 is a wasteful number, since it uses less digits than its factorization.

20738320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259242 (or 259236 counting only the distinct ones).

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

The square root of 20738320 is about 4553.9345625514. The cubic root of 20738320 is about 274.7416637298.

The spelling of 20738320 in words is "twenty million, seven hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 259229 518458 1036916 1296145 2073832 2592290 4147664 5184580 10369160 20738320