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4215620 = 225415397
BaseRepresentation
bin10000000101001101000100
321221011202002
4100011031010
52034344440
6230204432
750555303
oct20051504
97834662
104215620
11241a292
1214b3718
13b47a66
147ba43a
15584115
hex405344

4215620 has 48 divisors (see below), whose sum is σ = 9335088. Its totient is φ = 1597440.

The previous prime is 4215619. The next prime is 4215641. The reversal of 4215620 is 265124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 287296 + 3928324 = 536^2 + 1982^2 .

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 = 4215592 and 4215601.

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 15 ways as a sum of consecutive naturals, for example, 43412 + ... + 43508.

It is an arithmetic number, because the mean of its divisors is an integer number (194481).

Almost surely, 24215620 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 4215620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667544).

4215620 is an abundant number, since it is smaller than the sum of its proper divisors (5119468).

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

4215620 is a wasteful number, since it uses less digits than its factorization.

4215620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4215620 is about 2053.1975063301. The cubic root of 4215620 is about 161.5426310919.

The spelling of 4215620 in words is "four million, two hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 41 53 82 97 106 164 194 205 212 265 388 410 485 530 820 970 1060 1940 2173 3977 4346 5141 7954 8692 10282 10865 15908 19885 20564 21730 25705 39770 43460 51410 79540 102820 210781 421562 843124 1053905 2107810 4215620