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401880 = 233517197
BaseRepresentation
bin1100010000111011000
3202102021110
41202013120
5100330010
612340320
73262443
oct1420730
9672243
10401880
11254a36
121746a0
13110bcb
14a665a
157e120
hex621d8

401880 has 64 divisors (see below), whose sum is σ = 1283040. Its totient is φ = 100352.

The previous prime is 401867. The next prime is 401887. The reversal of 401880 is 88104.

401880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401887) by changing a digit.

401880 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, 1942 + ... + 2138.

2401880 is an apocalyptic number.

401880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641520).

401880 is an abundant number, since it is smaller than the sum of its proper divisors (881160).

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

401880 is a wasteful number, since it uses less digits than its factorization.

401880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 401880 is about 633.9400602581. The cubic root of 401880 is about 73.7958825855.

Adding to 401880 its reverse (88104), we get a palindrome (489984).

The spelling of 401880 in words is "four hundred one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 197 204 255 340 394 408 510 591 680 788 985 1020 1182 1576 1970 2040 2364 2955 3349 3940 4728 5910 6698 7880 10047 11820 13396 16745 20094 23640 26792 33490 40188 50235 66980 80376 100470 133960 200940 401880