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5140820 = 225401641
BaseRepresentation
bin10011100111000101010100
3100200011212202
4103213011110
52304001240
6302104032
761460546
oct23470524
910604782
105140820
1129a1413
12187b018
1310acc09
1497b696
156b8315
hex4e7154

5140820 has 24 divisors (see below), whose sum is σ = 10839528. Its totient is φ = 2048000.

The previous prime is 5140781. The next prime is 5140829. The reversal of 5140820 is 280415.

It can be written as a sum of positive squares in 4 ways, for example, as 3147076 + 1993744 = 1774^2 + 1412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5140792 and 5140801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140829) 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 7 ways as a sum of consecutive naturals, for example, 7700 + ... + 8340.

It is an arithmetic number, because the mean of its divisors is an integer number (451647).

Almost surely, 25140820 is an apocalyptic number.

It is an amenable number.

5140820 is an abundant number, since it is smaller than the sum of its proper divisors (5698708).

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

5140820 is a wasteful number, since it uses less digits than its factorization.

5140820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 5140820 is about 2267.3376457864. The cubic root of 5140820 is about 172.5880807610.

It can be divided in two parts, 51 and 40820, that multiplied together give a triangular number (2081820 = T2040).

The spelling of 5140820 in words is "five million, one hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 401 641 802 1282 1604 2005 2564 3205 4010 6410 8020 12820 257041 514082 1028164 1285205 2570410 5140820