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5311620 = 22325231283
BaseRepresentation
bin10100010000110010000100
3100222212011200
4110100302010
52324432440
6305502500
763101526
oct24206204
910885150
105311620
112aa8776
121941a30
13113c892
149c3a16
156edc30
hex510c84

5311620 has 72 divisors (see below), whose sum is σ = 16825536. Its totient is φ = 1353792.

The previous prime is 5311601. The next prime is 5311651. The reversal of 5311620 is 261135.

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 = 5311593 and 5311602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3499 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (233688).

Almost surely, 25311620 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 5311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412768).

5311620 is an abundant number, since it is smaller than the sum of its proper divisors (11513916).

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

5311620 is a wasteful number, since it uses less digits than its factorization.

5311620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1316 counting only the distinct ones).

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

The square root of 5311620 is about 2304.6952076142. The cubic root of 5311620 is about 174.4786661494.

Adding to 5311620 its reverse (261135), we get a palindrome (5572755).

The spelling of 5311620 in words is "five million, three hundred eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1283 1380 2070 2566 3849 4140 5132 6415 7698 11547 12830 15396 19245 23094 25660 29509 38490 46188 57735 59018 76980 88527 115470 118036 147545 177054 230940 265581 295090 354108 442635 531162 590180 885270 1062324 1327905 1770540 2655810 5311620