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5432180 = 22513171229
BaseRepresentation
bin10100101110001101110100
3101012222112212
4110232031310
52342312210
6312232552
764113155
oct24561564
911188485
105432180
113080306
12199b758
131182710
14a1592c
15724805
hex52e374

5432180 has 48 divisors (see below), whose sum is σ = 13018320. Its totient is φ = 1886208.

The previous prime is 5432179. The next prime is 5432183. The reversal of 5432180 is 812345.

It can be written as a sum of positive squares in 8 ways, for example, as 252004 + 5180176 = 502^2 + 2276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432183) 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, 3806 + ... + 5034.

It is an arithmetic number, because the mean of its divisors is an integer number (271215).

Almost surely, 25432180 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 5432180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509160).

5432180 is an abundant number, since it is smaller than the sum of its proper divisors (7586140).

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

5432180 is a wasteful number, since it uses less digits than its factorization.

5432180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5432180 is about 2330.7037563792. The cubic root of 5432180 is about 175.7888739047.

It can be divided in two parts, 5 and 432180, that multiplied together give a square (2160900 = 14702).

The spelling of 5432180 in words is "five million, four hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 1229 2210 2458 4420 4916 6145 12290 15977 20893 24580 31954 41786 63908 79885 83572 104465 159770 208930 271609 319540 417860 543218 1086436 1358045 2716090 5432180