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5131620 = 22335131743
BaseRepresentation
bin10011100100110101100100
3100122201021000
4103210311210
52303202440
6301553300
761421664
oct23446544
910581230
105131620
11299550a
121875830
1310a8980
149781a4
156b5730
hex4e4d64

5131620 has 192 divisors, whose sum is σ = 18627840. Its totient is φ = 1161216.

The previous prime is 5131571. The next prime is 5131627. The reversal of 5131620 is 261315.

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 = 5131593 and 5131602.

It is not an unprimeable number, because it can be changed into a prime (5131627) 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 63 ways as a sum of consecutive naturals, for example, 119319 + ... + 119361.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

Almost surely, 25131620 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 5131620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

5131620 is an abundant number, since it is smaller than the sum of its proper divisors (13496220).

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

5131620 is a wasteful number, since it uses less digits than its factorization.

5131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5131620 is about 2265.3079260886. The cubic root of 5131620 is about 172.4850648695.

Adding to 5131620 its reverse (261315), we get a palindrome (5392935).

The spelling of 5131620 in words is "five million, one hundred thirty-one thousand, six hundred twenty".