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401620 = 22543467
BaseRepresentation
bin1100010000011010100
3202101220211
41202003110
5100322440
612335204
73261622
oct1420324
9671824
10401620
1125481a
12174504
13110a5b
14a6512
157deea
hex620d4

401620 has 24 divisors (see below), whose sum is σ = 864864. Its totient is φ = 156576.

The previous prime is 401593. The next prime is 401627. The reversal of 401620 is 26104.

It is a super-2 number, since 2×4016202 = 322597248800, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 401620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401627) by changing a digit.

401620 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 627 + ... + 1093.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2401620 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 401620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

401620 is an abundant number, since it is smaller than the sum of its proper divisors (463244).

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

401620 is a wasteful number, since it uses less digits than its factorization.

401620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 401620 is about 633.7349603738. The cubic root of 401620 is about 73.7799648416.

Adding to 401620 its reverse (26104), we get a palindrome (427724).

The spelling of 401620 in words is "four hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 467 860 934 1868 2335 4670 9340 20081 40162 80324 100405 200810 401620