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16542141 = 3711193769
BaseRepresentation
bin111111000110…
…100110111101
31011010102112220
4333012212331
513213322031
61350315553
7260414550
oct77064675
934112486
1016542141
1193793a0
125658bb9
133572565
1422a8697
1516bb596
hexfc69bd

16542141 has 32 divisors (see below), whose sum is σ = 28953600. Its totient is φ = 8138880.

The previous prime is 16542137. The next prime is 16542181. The reversal of 16542141 is 14124561.

It is a happy number.

It is not a de Polignac number, because 16542141 - 22 = 16542137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16542101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2505 + ... + 6273.

It is an arithmetic number, because the mean of its divisors is an integer number (904800).

Almost surely, 216542141 is an apocalyptic number.

16542141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16542141 is a deficient number, since it is larger than the sum of its proper divisors (12411459).

16542141 is a wasteful number, since it uses less digits than its factorization.

16542141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809.

The product of its digits is 960, while the sum is 24.

The square root of 16542141 is about 4067.2030930358. The cubic root of 16542141 is about 254.7987185173.

The spelling of 16542141 in words is "sixteen million, five hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 3769 4389 11307 26383 41459 71611 79149 124377 214833 290213 501277 787721 870639 1503831 2363163 5514047 16542141