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20742048 = 253324007
BaseRepresentation
bin100111100011…
…1111110100000
31110000210202000
41033013332200
520302221143
62020324000
7341206305
oct117077640
943023660
1020742048
1110787898
126b43600
1343b3102
142a7d0ac
151c4abd3
hex13c7fa0

20742048 has 48 divisors (see below), whose sum is σ = 60500160. Its totient is φ = 6913728.

The previous prime is 20742041. The next prime is 20742077. The reversal of 20742048 is 84024702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20742041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11140 + ... + 12867.

It is an arithmetic number, because the mean of its divisors is an integer number (1260420).

Almost surely, 220742048 is an apocalyptic number.

It is an amenable number.

20742048 is an abundant number, since it is smaller than the sum of its proper divisors (39758112).

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

20742048 is a wasteful number, since it uses less digits than its factorization.

20742048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24026 (or 24012 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20742048 is about 4554.3438605358. The cubic root of 20742048 is about 274.7581256154.

The spelling of 20742048 in words is "twenty million, seven hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 24007 48014 72021 96028 144042 192056 216063 288084 384112 432126 576168 648189 768224 864252 1152336 1296378 1728504 2304672 2592756 3457008 5185512 6914016 10371024 20742048