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20514432 = 273411303
BaseRepresentation
bin100111001000…
…0011010000000
31102121020111210
41032100122000
520222430212
62011410120
7336240561
oct116203200
942536453
1020514432
1110641884
126a53940
134333623
142a20168
151c0353c
hex1390680

20514432 has 64 divisors (see below), whose sum is σ = 55863360. Its totient is φ = 6666240.

The previous prime is 20514421. The next prime is 20514443. The reversal of 20514432 is 23441502.

It is an interprime number because it is at equal distance from previous prime (20514421) and next prime (20514443).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20514399 and 20514408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15093 + ... + 16395.

It is an arithmetic number, because the mean of its divisors is an integer number (872865).

Almost surely, 220514432 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 20514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27931680).

20514432 is an abundant number, since it is smaller than the sum of its proper divisors (35348928).

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

20514432 is a wasteful number, since it uses less digits than its factorization.

20514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20514432 is about 4529.2860364521. The cubic root of 20514432 is about 273.7493934642.

Adding to 20514432 its reverse (23441502), we get a palindrome (43955934).

The spelling of 20514432 in words is "twenty million, five hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1303 1312 1968 2606 2624 3909 3936 5212 5248 7818 7872 10424 15636 15744 20848 31272 41696 53423 62544 83392 106846 125088 160269 166784 213692 250176 320538 427384 500352 641076 854768 1282152 1709536 2564304 3419072 5128608 6838144 10257216 20514432