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414190 = 2576197
BaseRepresentation
bin1100101000111101110
3210001011101
41211013232
5101223230
612513314
73343360
oct1450756
9701141
10414190
11263207
1217b83a
131166aa
14aad30
1582aca
hex651ee

414190 has 32 divisors (see below), whose sum is σ = 874944. Its totient is φ = 138240.

The previous prime is 414179. The next prime is 414199. The reversal of 414190 is 91414.

It is a super-2 number, since 2×4141902 = 343106712200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414199) by changing a digit.

414190 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4222 + ... + 4318.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2414190 is an apocalyptic number.

414190 is an abundant number, since it is smaller than the sum of its proper divisors (460754).

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

414190 is a wasteful number, since it uses less digits than its factorization.

414190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 414190 is about 643.5759473442. The cubic root of 414190 is about 74.5417989843.

The spelling of 414190 in words is "four hundred fourteen thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 61 70 97 122 194 305 427 485 610 679 854 970 1358 2135 3395 4270 5917 6790 11834 29585 41419 59170 82838 207095 414190