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20885742 = 2332913337
BaseRepresentation
bin100111110101…
…1000011101110
31110022002212000
41033223003232
520321320432
62023353130
7342345243
oct117530356
943262760
1020885742
1110875849
126bb27a6
134433637
142ab95ca
151c7857c
hex13eb0ee

20885742 has 32 divisors (see below), whose sum is σ = 48016800. Its totient is φ = 6721344.

The previous prime is 20885737. The next prime is 20885747. The reversal of 20885742 is 24758802.

It is a happy number.

20885742 is a `hidden beast` number, since 2 + 0 + 88 + 574 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20885737) and next prime (20885747).

20885742 is a modest number, since divided by 5742 gives 2088 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20885697 and 20885706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20885747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5103 + ... + 8234.

It is an arithmetic number, because the mean of its divisors is an integer number (1500525).

Almost surely, 220885742 is an apocalyptic number.

20885742 is an abundant number, since it is smaller than the sum of its proper divisors (27131058).

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

20885742 is a wasteful number, since it uses less digits than its factorization.

20885742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13377 (or 13371 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 20885742 is about 4570.0921216098. The cubic root of 20885742 is about 275.3911436722.

The spelling of 20885742 in words is "twenty million, eight hundred eighty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 13337 26674 40011 80022 120033 240066 360099 386773 720198 773546 1160319 2320638 3480957 6961914 10442871 20885742