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5430880 = 255713373
BaseRepresentation
bin10100101101111001100000
3101012220202201
4110231321200
52342242010
6312222544
764106320
oct24557140
911186681
105430880
11307a334
12199aa54
131181c50
14a15280
1572423a
hex52de60

5430880 has 96 divisors (see below), whose sum is σ = 15833664. Its totient is φ = 1714176.

The previous prime is 5430851. The next prime is 5430883. The reversal of 5430880 is 880345.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14374 + ... + 14746.

It is an arithmetic number, because the mean of its divisors is an integer number (164934).

Almost surely, 25430880 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 5430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916832).

5430880 is an abundant number, since it is smaller than the sum of its proper divisors (10402784).

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

5430880 is a wasteful number, since it uses less digits than its factorization.

5430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5430880 is about 2330.4248539698. The cubic root of 5430880 is about 175.7748498378.

The spelling of 5430880 in words is "five million, four hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 373 416 455 520 560 728 746 910 1040 1120 1456 1492 1820 1865 2080 2611 2912 2984 3640 3730 4849 5222 5968 7280 7460 9698 10444 11936 13055 14560 14920 19396 20888 24245 26110 29840 33943 38792 41776 48490 52220 59680 67886 77584 83552 96980 104440 135772 155168 169715 193960 208880 271544 339430 387920 417760 543088 678860 775840 1086176 1357720 2715440 5430880