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4535820 = 22325113223
BaseRepresentation
bin10001010011011000001100
322112102222100
4101103120030
52130121240
6241115100
753360652
oct21233014
98472870
104535820
112618913
121628a90
13c2a723
14860dd2
155e8e30
hex45360c

4535820 has 72 divisors (see below), whose sum is σ = 13942656. Its totient is φ = 1193472.

The previous prime is 4535819. The next prime is 4535831. The reversal of 4535820 is 285354.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20229 + ... + 20451.

It is an arithmetic number, because the mean of its divisors is an integer number (193648).

Almost surely, 24535820 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 4535820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971328).

4535820 is an abundant number, since it is smaller than the sum of its proper divisors (9406836).

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

4535820 is a wasteful number, since it uses less digits than its factorization.

4535820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4535820 is about 2129.7464637839. The cubic root of 4535820 is about 165.5332609315.

It can be divided in two parts, 4 and 535820, that added together give a square (535824 = 7322).

The spelling of 4535820 in words is "four million, five hundred thirty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 223 226 339 446 452 565 669 678 892 1017 1115 1130 1338 1356 1695 2007 2034 2230 2260 2676 3345 3390 4014 4068 4460 5085 6690 6780 8028 10035 10170 13380 20070 20340 25199 40140 50398 75597 100796 125995 151194 226791 251990 302388 377985 453582 503980 755970 907164 1133955 1511940 2267910 4535820