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5430960 = 2432519397
BaseRepresentation
bin10100101101111010110000
3101012220212200
4110231322300
52342242320
6312223200
764106463
oct24557260
911186780
105430960
11307a3a7
12199ab00
131181cb2
14a152da
15724290
hex52deb0

5430960 has 120 divisors (see below), whose sum is σ = 19247280. Its totient is φ = 1368576.

The previous prime is 5430959. The next prime is 5430961. The reversal of 5430960 is 690345.

It is a happy number.

5430960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5430959) and next prime (5430961).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5430961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13482 + ... + 13878.

It is an arithmetic number, because the mean of its divisors is an integer number (160394).

Almost surely, 25430960 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 5430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623640).

5430960 is an abundant number, since it is smaller than the sum of its proper divisors (13816320).

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

5430960 is a wasteful number, since it uses less digits than its factorization.

5430960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5430960 is about 2330.4420181588. The cubic root of 5430960 is about 175.7757129219.

The spelling of 5430960 in words is "five million, four hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 397 456 570 684 720 760 794 855 912 1140 1191 1368 1520 1588 1710 1985 2280 2382 2736 3176 3420 3573 3970 4560 4764 5955 6352 6840 7146 7543 7940 9528 11910 13680 14292 15086 15880 17865 19056 22629 23820 28584 30172 31760 35730 37715 45258 47640 57168 60344 67887 71460 75430 90516 95280 113145 120688 135774 142920 150860 181032 226290 271548 285840 301720 339435 362064 452580 543096 603440 678870 905160 1086192 1357740 1810320 2715480 5430960