Search a number
-
+
401660 = 225719151
BaseRepresentation
bin1100010000011111100
3202101222022
41202003330
5100323120
612335312
73262010
oct1420374
9671868
10401660
11254856
12174538
13110a8c
14a6540
157e025
hex620fc

401660 has 48 divisors (see below), whose sum is σ = 1021440. Its totient is φ = 129600.

The previous prime is 401651. The next prime is 401669. The reversal of 401660 is 66104.

It is an interprime number because it is at equal distance from previous prime (401651) and next prime (401669).

It is a super-3 number, since 3×4016603 = 194400333882888000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2401660 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 401660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510720).

401660 is an abundant number, since it is smaller than the sum of its proper divisors (619780).

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

401660 is a wasteful number, since it uses less digits than its factorization.

401660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 401660 is about 633.7665185224. The cubic root of 401660 is about 73.7824141724.

Adding to 401660 its reverse (66104), we get a palindrome (467764).

The spelling of 401660 in words is "four hundred one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 151 190 266 302 380 532 604 665 755 1057 1330 1510 2114 2660 2869 3020 4228 5285 5738 10570 11476 14345 20083 21140 28690 40166 57380 80332 100415 200830 401660