Search a number
-
+
5430040 = 2357114143
BaseRepresentation
bin10100101101101100011000
3101012212121121
4110231230120
52342230130
6312215024
764104010
oct24555430
911185547
105430040
113079740
12199a474
131181755
14a14c40
15723d7a
hex52db18

5430040 has 128 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1612800.

The previous prime is 5430023. The next prime is 5430043. The reversal of 5430040 is 400345.

It is a junction number, because it is equal to n+sod(n) for n = 5429996 and 5430023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430043) 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 31 ways as a sum of consecutive naturals, for example, 126259 + ... + 126301.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 25430040 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 5430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5430040 is an abundant number, since it is smaller than the sum of its proper divisors (10536680).

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

5430040 is a wasteful number, since it uses less digits than its factorization.

5430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 5430040 is about 2330.2446223519. The cubic root of 5430040 is about 175.7657869427.

Adding to 5430040 its reverse (400345), we get a palindrome (5830385).

The spelling of 5430040 in words is "five million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 41 43 44 55 56 70 77 82 86 88 110 140 154 164 172 205 215 220 280 287 301 308 328 344 385 410 430 440 451 473 574 602 616 770 820 860 902 946 1148 1204 1435 1505 1540 1640 1720 1763 1804 1892 2255 2296 2365 2408 2870 3010 3080 3157 3311 3526 3608 3784 4510 4730 5740 6020 6314 6622 7052 8815 9020 9460 11480 12040 12341 12628 13244 14104 15785 16555 17630 18040 18920 19393 24682 25256 26488 31570 33110 35260 38786 49364 61705 63140 66220 70520 77572 96965 98728 123410 126280 132440 135751 155144 193930 246820 271502 387860 493640 543004 678755 775720 1086008 1357510 2715020 5430040