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1407141 = 32172541
BaseRepresentation
bin101010111100010100101
32122111020100
411113202211
5330012031
650054313
714650311
oct5274245
92574210
101407141
1188122a
1257a399
133a3638
14288b41
151cbde6
hex1578a5

1407141 has 18 divisors (see below), whose sum is σ = 2163122. Its totient is φ = 881280.

The previous prime is 1407113. The next prime is 1407143. The reversal of 1407141 is 1417041.

It can be written as a sum of positive squares in 3 ways, for example, as 497025 + 910116 = 705^2 + 954^2 .

It is not a de Polignac number, because 1407141 - 214 = 1390757 is a prime.

It is a Duffinian number.

1407141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407143) 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 17 ways as a sum of consecutive naturals, for example, 2331 + ... + 2871.

21407141 is an apocalyptic number.

It is an amenable number.

1407141 is a deficient number, since it is larger than the sum of its proper divisors (755981).

1407141 is a wasteful number, since it uses less digits than its factorization.

1407141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1407141 is about 1186.2297416605. The cubic root of 1407141 is about 112.0587754854.

It can be divided in two parts, 140714 and 1, that added together give a triangular number (140715 = T530).

The spelling of 1407141 in words is "one million, four hundred seven thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 289 541 867 1623 2601 4869 9197 27591 82773 156349 469047 1407141