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5350320 = 243352477
BaseRepresentation
bin10100011010001110110000
3101001211021000
4110122032300
52332202240
6310402000
763322413
oct24321660
911054230
105350320
113024858
121960300
131154391
149d3b7a
1570a430
hex51a3b0

5350320 has 80 divisors (see below), whose sum is σ = 18436320. Its totient is φ = 1426176.

The previous prime is 5350309. The next prime is 5350333. The reversal of 5350320 is 230535.

5350320 = T325 + T326 + ... + T404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5350293 and 5350302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922 + ... + 3398.

It is an arithmetic number, because the mean of its divisors is an integer number (230454).

Almost surely, 25350320 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 5350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218160).

5350320 is an abundant number, since it is smaller than the sum of its proper divisors (13086000).

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

5350320 is a wasteful number, since it uses less digits than its factorization.

5350320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5350320 is about 2313.0758742419. The cubic root of 5350320 is about 174.9013866182.

Adding to 5350320 its reverse (230535), we get a palindrome (5580855).

The spelling of 5350320 in words is "five million, three hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2477 4954 7431 9908 12385 14862 19816 22293 24770 29724 37155 39632 44586 49540 59448 66879 74310 89172 99080 111465 118896 133758 148620 178344 198160 222930 267516 297240 334395 356688 445860 535032 594480 668790 891720 1070064 1337580 1783440 2675160 5350320