Search a number
-
+
414075 = 3525521
BaseRepresentation
bin1100101000101111011
3210001000010
41211011323
5101222300
612513003
73343134
oct1450573
9701003
10414075
11263112
1217b763
1311661c
14aac8b
1582a50
hex6517b

414075 has 12 divisors (see below), whose sum is σ = 684728. Its totient is φ = 220800.

The previous prime is 414061. The next prime is 414077. The reversal of 414075 is 570414.

It is a de Polignac number, because none of the positive numbers 2k-414075 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414075.

It is not an unprimeable number, because it can be changed into a prime (414077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2686 + ... + 2835.

2414075 is an apocalyptic number.

414075 is a deficient number, since it is larger than the sum of its proper divisors (270653).

414075 is a wasteful number, since it uses less digits than its factorization.

414075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 414075 is about 643.4865965970. The cubic root of 414075 is about 74.5348994934.

Adding to 414075 its reverse (570414), we get a palindrome (984489).

The spelling of 414075 in words is "four hundred fourteen thousand, seventy-five".

Divisors: 1 3 5 15 25 75 5521 16563 27605 82815 138025 414075