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106491 = 3711461
BaseRepresentation
bin11001111111111011
312102002010
4121333323
511401431
62141003
7622320
oct317773
9172063
10106491
1173010
1251763
1339618
142ab47
1521846
hex19ffb

106491 has 16 divisors (see below), whose sum is σ = 177408. Its totient is φ = 55200.

The previous prime is 106487. The next prime is 106501. The reversal of 106491 is 194601.

106491 is a nontrivial binomial coefficient, being equal to C(462, 2).

It is not a de Polignac number, because 106491 - 22 = 106487 is a prime.

It is a super-2 number, since 2×1064912 = 22680666162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

106491 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106411) 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, 1 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2106491 is an apocalyptic number.

106491 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106491 is the 461-st triangular number and also the 231-st hexagonal number.

106491 is a deficient number, since it is larger than the sum of its proper divisors (70917).

106491 is a wasteful number, since it uses less digits than its factorization.

106491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 106491 is about 326.3295879935. The cubic root of 106491 is about 47.3991952720.

The spelling of 106491 in words is "one hundred six thousand, four hundred ninety-one".

Divisors: 1 3 7 11 21 33 77 231 461 1383 3227 5071 9681 15213 35497 106491