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406260 = 223253761
BaseRepresentation
bin1100011001011110100
3202122021200
41203023310
5101000020
612412500
73311301
oct1431364
9678250
10406260
11258258
12177130
13112bba
14a80a8
1580590
hex632f4

406260 has 72 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 103680.

The previous prime is 406253. The next prime is 406267. The reversal of 406260 is 62604.

406260 is a `hidden beast` number, since 40 + 626 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (406253) and next prime (406267).

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 381924 = 156^2 + 618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406267) by changing a digit.

406260 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 23 ways as a sum of consecutive naturals, for example, 6630 + ... + 6690.

2406260 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 406260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643188).

406260 is an abundant number, since it is smaller than the sum of its proper divisors (880116).

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

406260 is a wasteful number, since it uses less digits than its factorization.

406260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406260 is about 637.3852837962. The cubic root of 406260 is about 74.0630093967.

Adding to 406260 its reverse (62604), we get a palindrome (468864).

It can be divided in two parts, 406 and 260, that added together give a palindrome (666).

The spelling of 406260 in words is "four hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 61 74 90 111 122 148 180 183 185 222 244 305 333 366 370 444 549 555 610 666 732 740 915 1098 1110 1220 1332 1665 1830 2196 2220 2257 2745 3330 3660 4514 5490 6660 6771 9028 10980 11285 13542 20313 22570 27084 33855 40626 45140 67710 81252 101565 135420 203130 406260