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5420928 = 27319743
BaseRepresentation
bin10100101011011110000000
3101012102010010
4110223132000
52341432203
6312104520
764035312
oct24533600
911172103
105420928
113072907
121995140
13117a566
14a117b2
15721303
hex52b780

5420928 has 64 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1709568.

The previous prime is 5420927. The next prime is 5420929. The reversal of 5420928 is 8290245.

It is an interprime number because it is at equal distance from previous prime (5420927) and next prime (5420929).

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 = 5420895 and 5420904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5420923) 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, 6925 + ... + 7667.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 25420928 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 5420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

5420928 is an abundant number, since it is smaller than the sum of its proper divisors (9756672).

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

5420928 is a wasteful number, since it uses less digits than its factorization.

5420928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5420928 is about 2328.2886418999. The cubic root of 5420928 is about 175.6674159951.

The spelling of 5420928 in words is "five million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 743 912 1216 1486 1824 2229 2432 2972 3648 4458 5944 7296 8916 11888 14117 17832 23776 28234 35664 42351 47552 56468 71328 84702 95104 112936 142656 169404 225872 285312 338808 451744 677616 903488 1355232 1806976 2710464 5420928