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5430840 = 2335167271
BaseRepresentation
bin10100101101111000111000
3101012220201020
4110231320320
52342241330
6312222440
764106232
oct24557070
911186636
105430840
11307a2a8
12199aa20
131181c1c
14a15252
15724210
hex52de38

5430840 has 64 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1434240.

The previous prime is 5430839. The next prime is 5430851. The reversal of 5430840 is 480345.

It is a happy number.

5430840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5430840.

It is a congruent number.

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, 19905 + ... + 20175.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 25430840 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 5430840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

5430840 is an abundant number, since it is smaller than the sum of its proper divisors (11019720).

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

5430840 is a wasteful number, since it uses less digits than its factorization.

5430840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5430840 is about 2330.4162718278. The cubic root of 5430840 is about 175.7744182925.

The spelling of 5430840 in words is "five million, four hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 271 334 501 542 668 813 835 1002 1084 1336 1355 1626 1670 2004 2168 2505 2710 3252 3340 4008 4065 5010 5420 6504 6680 8130 10020 10840 16260 20040 32520 45257 90514 135771 181028 226285 271542 362056 452570 543084 678855 905140 1086168 1357710 1810280 2715420 5430840