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5412420 = 2234513257
BaseRepresentation
bin10100101001011001000100
3101011222110000
4110221121010
52341144140
6312001300
764001436
oct24513104
911158400
105412420
113067482
121990230
131176720
14a0c656
1571da30
hex529644

5412420 has 120 divisors (see below), whose sum is σ = 18356184. Its totient is φ = 1327104.

The previous prime is 5412419. The next prime is 5412437. The reversal of 5412420 is 242145.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 4359744 = 1026^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5412393 and 5412402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20932 + ... + 21188.

Almost surely, 25412420 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 5412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178092).

5412420 is an abundant number, since it is smaller than the sum of its proper divisors (12943764).

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

5412420 is a wasteful number, since it uses less digits than its factorization.

5412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5412420 is about 2326.4608313918. The cubic root of 5412420 is about 175.5754661199.

Adding to 5412420 its reverse (242145), we get a palindrome (5654565).

It can be divided in two parts, 5412 and 420, that added together give a cube (5832 = 183).

The spelling of 5412420 in words is "five million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 257 260 270 324 351 390 405 468 514 540 585 702 771 780 810 1028 1053 1170 1285 1404 1542 1620 1755 2106 2313 2340 2570 3084 3341 3510 3855 4212 4626 5140 5265 6682 6939 7020 7710 9252 10023 10530 11565 13364 13878 15420 16705 20046 20817 21060 23130 27756 30069 33410 34695 40092 41634 46260 50115 60138 66820 69390 83268 90207 100230 104085 120276 138780 150345 180414 200460 208170 270621 300690 360828 416340 451035 541242 601380 902070 1082484 1353105 1804140 2706210 5412420