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5466540 = 2235312939
BaseRepresentation
bin10100110110100110101100
3101021201200110
4110312212230
52344412130
6313100020
764315302
oct24664654
911251613
105466540
1130a4102
1219b7610
131195251
14a24272
1572eab0
hex5369ac

5466540 has 48 divisors (see below), whose sum is σ = 15805440. Its totient is φ = 1410240.

The previous prime is 5466533. The next prime is 5466541. The reversal of 5466540 is 456645.

5466540 = 3502 + 3512 + ... + 3892.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5466498 and 5466507.

It is not an unprimeable number, because it can be changed into a prime (5466541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 25466540 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 5466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902720).

5466540 is an abundant number, since it is smaller than the sum of its proper divisors (10338900).

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

5466540 is a wasteful number, since it uses less digits than its factorization.

5466540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5466540 is about 2338.0633011106. The cubic root of 5466540 is about 176.1587324866.

It can be divided in two parts, 5466 and 540, that added together give a palindrome (6006).

The spelling of 5466540 in words is "five million, four hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2939 5878 8817 11756 14695 17634 29390 35268 44085 58780 88170 91109 176340 182218 273327 364436 455545 546654 911090 1093308 1366635 1822180 2733270 5466540