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5412820 = 225723412
BaseRepresentation
bin10100101001011111010100
3101011222222211
4110221133110
52341202240
6312003204
764002550
oct24513724
911158884
105412820
113067806
121990504
13117696a
14a0c860
1571dbea
hex5297d4

5412820 has 72 divisors (see below), whose sum is σ = 13894272. Its totient is φ = 1731840.

The previous prime is 5412811. The next prime is 5412829. The reversal of 5412820 is 282145.

It is an interprime number because it is at equal distance from previous prime (5412811) and next prime (5412829).

It is a super-3 number, since 3×54128203 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5412791 and 5412800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5412829) 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, 132000 + ... + 132040.

It is an arithmetic number, because the mean of its divisors is an integer number (192976).

Almost surely, 25412820 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 5412820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947136).

5412820 is an abundant number, since it is smaller than the sum of its proper divisors (8481452).

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

5412820 is a wasteful number, since it uses less digits than its factorization.

5412820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 5412820 is about 2326.5467972942. The cubic root of 5412820 is about 175.5797912620.

Adding to 5412820 its reverse (282145), we get a palindrome (5694965).

The spelling of 5412820 in words is "five million, four hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 41 46 70 82 92 115 140 161 164 205 230 287 322 410 460 574 644 805 820 943 1148 1435 1610 1681 1886 2870 3220 3362 3772 4715 5740 6601 6724 8405 9430 11767 13202 16810 18860 23534 26404 33005 33620 38663 47068 58835 66010 77326 117670 132020 154652 193315 235340 270641 386630 541282 773260 1082564 1353205 2706410 5412820