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401220 = 22335743
BaseRepresentation
bin1100001111101000100
3202101101000
41201331010
5100314340
612333300
73260511
oct1417504
9671330
10401220
11254496
12174230
13110811
14a6308
157dd30
hex61f44

401220 has 48 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 106848.

The previous prime is 401209. The next prime is 401231. The reversal of 401220 is 22104.

It is an interprime number because it is at equal distance from previous prime (401209) and next prime (401231).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

401220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2401220 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 401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

401220 is an abundant number, since it is smaller than the sum of its proper divisors (848700).

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

401220 is a wasteful number, since it uses less digits than its factorization.

401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 401220 is about 633.4192924122. The cubic root of 401220 is about 73.7554625849.

Adding to 401220 its reverse (22104), we get a palindrome (423324).

The spelling of 401220 in words is "four hundred one thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 743 1486 2229 2972 3715 4458 6687 7430 8916 11145 13374 14860 20061 22290 26748 33435 40122 44580 66870 80244 100305 133740 200610 401220