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5920224 = 25383743
BaseRepresentation
bin10110100101010111100000
3102010210000120
4112211113200
53003421344
6330520240
7101215062
oct26452740
912123016
105920224
113383a52
121b96080
1312c38bb
14b01732
157be219
hex5a55e0

5920224 has 48 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1947008.

The previous prime is 5920219. The next prime is 5920241. The reversal of 5920224 is 4220295.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 5920194 and 5920203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7597 + ... + 8339.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 25920224 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 5920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5920224 is an abundant number, since it is smaller than the sum of its proper divisors (9828768).

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

5920224 is a wasteful number, since it uses less digits than its factorization.

5920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5920224 is about 2433.1510434003. The cubic root of 5920224 is about 180.9031155336.

The spelling of 5920224 in words is "five million, nine hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 743 996 1328 1486 1992 2229 2656 2972 3984 4458 5944 7968 8916 11888 17832 23776 35664 61669 71328 123338 185007 246676 370014 493352 740028 986704 1480056 1973408 2960112 5920224