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20956032 = 273218191
BaseRepresentation
bin100111111110…
…0001110000000
31110102200021100
41033330032000
520331043112
62025054400
7343060206
oct117741600
943380240
1020956032
1110913639
127027400
134459626
142ad7076
151c8e2dc
hex13fc380

20956032 has 48 divisors (see below), whose sum is σ = 60306480. Its totient is φ = 6984960.

The previous prime is 20956021. The next prime is 20956051. The reversal of 20956032 is 23065902.

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

It is a junction number, because it is equal to n+sod(n) for n = 20955987 and 20956005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7944 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (1256385).

Almost surely, 220956032 is an apocalyptic number.

It is an amenable number.

20956032 is an abundant number, since it is smaller than the sum of its proper divisors (39350448).

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

20956032 is a wasteful number, since it uses less digits than its factorization.

20956032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18211 (or 18196 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 20956032 is about 4577.7758791798. The cubic root of 20956032 is about 275.6997364703.

The spelling of 20956032 in words is "twenty million, nine hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18191 36382 54573 72764 109146 145528 163719 218292 291056 327438 436584 582112 654876 873168 1164224 1309752 1746336 2328448 2619504 3492672 5239008 6985344 10478016 20956032