Search a number
-
+
421960 = 235711137
BaseRepresentation
bin1100111000001001000
3210102211011
41213001020
5102000320
613013304
73405130
oct1470110
9712734
10421960
11269030
12184234
1311a0a6
14adac0
158505a
hex67048

421960 has 64 divisors (see below), whose sum is σ = 1192320. Its totient is φ = 130560.

The previous prime is 421943. The next prime is 421973. The reversal of 421960 is 69124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

421960 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 15 ways as a sum of consecutive naturals, for example, 3012 + ... + 3148.

It is an arithmetic number, because the mean of its divisors is an integer number (18630).

2421960 is an apocalyptic number.

421960 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 421960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596160).

421960 is an abundant number, since it is smaller than the sum of its proper divisors (770360).

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

421960 is a wasteful number, since it uses less digits than its factorization.

421960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 421960 is about 649.5844825733. The cubic root of 421960 is about 75.0050366988.

Subtracting from 421960 its reverse (69124), we obtain a square (352836 = 5942).

It can be divided in two parts, 42 and 1960, that added together give a palindrome (2002).

The spelling of 421960 in words is "four hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 137 140 154 220 274 280 308 385 440 548 616 685 770 959 1096 1370 1507 1540 1918 2740 3014 3080 3836 4795 5480 6028 7535 7672 9590 10549 12056 15070 19180 21098 30140 38360 42196 52745 60280 84392 105490 210980 421960