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5430580 = 2251931461
BaseRepresentation
bin10100101101110100110100
3101012220100121
4110231310310
52342234310
6312221324
764105411
oct24556464
911186317
105430580
11307a091
12199a844
131181a7c
14a15108
157240da
hex52dd34

5430580 has 48 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 1987200.

The previous prime is 5430559. The next prime is 5430583. The reversal of 5430580 is 850345.

It is a happy number.

It is a super-3 number, since 3×54305803 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11550 + ... + 12010.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 25430580 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 5430580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

5430580 is an abundant number, since it is smaller than the sum of its proper divisors (6987980).

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

5430580 is a wasteful number, since it uses less digits than its factorization.

5430580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5430580 is about 2330.3604871350. The cubic root of 5430580 is about 175.7716131968.

The spelling of 5430580 in words is "five million, four hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 461 589 620 922 1178 1844 2305 2356 2945 4610 5890 8759 9220 11780 14291 17518 28582 35036 43795 57164 71455 87590 142910 175180 271529 285820 543058 1086116 1357645 2715290 5430580