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16435141 = 172293753
BaseRepresentation
bin111110101100…
…011111000101
31010220222202221
4332230133011
513201411031
61344132341
7256460602
oct76543705
933828687
1016435141
119305a68
1256070b1
133535948
14227b6a9
151699a11
hexfac7c5

16435141 has 24 divisors (see below), whose sum is σ = 18898920. Its totient is φ = 14257152.

The previous prime is 16435123. The next prime is 16435157. The reversal of 16435141 is 14153461.

It can be written as a sum of positive squares in 12 ways, for example, as 1060900 + 15374241 = 1030^2 + 3921^2 .

It is not a de Polignac number, because 16435141 - 25 = 16435109 is a prime.

It is a super-2 number, since 2×164351412 = 540227719379762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16433141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310071 + ... + 310123.

It is an arithmetic number, because the mean of its divisors is an integer number (787455).

Almost surely, 216435141 is an apocalyptic number.

It is an amenable number.

16435141 is a deficient number, since it is larger than the sum of its proper divisors (2463779).

16435141 is a wasteful number, since it uses less digits than its factorization.

16435141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 16435141 is about 4054.0277502750. The cubic root of 16435141 is about 254.2481558051.

The spelling of 16435141 in words is "sixteen million, four hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 17 29 37 53 289 493 629 901 1073 1537 1961 8381 10693 15317 18241 26129 33337 56869 310097 444193 566729 966773 16435141