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20914128 = 2432311467
BaseRepresentation
bin100111111000…
…1111111010000
31110100112210100
41033301333100
520323223003
62024132400
7342524064
oct117617720
943315710
1020914128
1110895104
127007100
134443531
142ac5aa4
151c81ba3
hex13f1fd0

20914128 has 60 divisors (see below), whose sum is σ = 58844448. Its totient is φ = 6934080.

The previous prime is 20914123. The next prime is 20914129. The reversal of 20914128 is 82141902.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20914121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44551 + ... + 45017.

Almost surely, 220914128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20914128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29422224).

20914128 is an abundant number, since it is smaller than the sum of its proper divisors (37930320).

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

20914128 is a wasteful number, since it uses less digits than its factorization.

20914128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20914128 is about 4573.1966937800. The cubic root of 20914128 is about 275.5158493873.

The spelling of 20914128 in words is "twenty million, nine hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 467 622 933 934 1244 1401 1866 1868 2488 2799 2802 3732 3736 4203 4976 5598 5604 7464 7472 8406 11196 11208 14928 16812 22392 22416 33624 44784 67248 145237 290474 435711 580948 871422 1161896 1307133 1742844 2323792 2614266 3485688 5228532 6971376 10457064 20914128