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20716128 = 253323977
BaseRepresentation
bin100111100000…
…1101001100000
31102222111012000
41033001221200
520300404003
62020004000
7341040606
oct117015140
942874160
1020716128
111076a374
126b30600
1343a4384
142a73876
151c431a3
hex13c1a60

20716128 has 48 divisors (see below), whose sum is σ = 60424560. Its totient is φ = 6905088.

The previous prime is 20716127. The next prime is 20716141. The reversal of 20716128 is 82161702.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20716127) 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, 11125 + ... + 12852.

It is an arithmetic number, because the mean of its divisors is an integer number (1258845).

Almost surely, 220716128 is an apocalyptic number.

It is an amenable number.

20716128 is an abundant number, since it is smaller than the sum of its proper divisors (39708432).

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

20716128 is a wasteful number, since it uses less digits than its factorization.

20716128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23996 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 20716128 is about 4551.4973360423. The cubic root of 20716128 is about 274.6436287377.

The spelling of 20716128 in words is "twenty million, seven hundred sixteen thousand, one hundred twenty-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 23977 47954 71931 95908 143862 191816 215793 287724 383632 431586 575448 647379 767264 863172 1150896 1294758 1726344 2301792 2589516 3452688 5179032 6905376 10358064 20716128