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16006977 = 347237109
BaseRepresentation
bin111101000011…
…111101000001
31010010020110000
4331003331001
513044210402
61331030213
7253025400
oct75037501
933106400
1016006977
119043308
12543b369
133415aac
1421a9637
151612c1c
hexf43f41

16006977 has 60 divisors (see below), whose sum is σ = 28829460. Its totient is φ = 8817984.

The previous prime is 16006973. The next prime is 16006981. The reversal of 16006977 is 77960061.

It is an interprime number because it is at equal distance from previous prime (16006973) and next prime (16006981).

It can be written as a sum of positive squares in 2 ways, for example, as 12895281 + 3111696 = 3591^2 + 1764^2 .

It is not a de Polignac number, because 16006977 - 22 = 16006973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16006973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 146799 + ... + 146907.

It is an arithmetic number, because the mean of its divisors is an integer number (480491).

Almost surely, 216006977 is an apocalyptic number.

It is an amenable number.

16006977 is a deficient number, since it is larger than the sum of its proper divisors (12822483).

16006977 is a wasteful number, since it uses less digits than its factorization.

16006977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 16006977 is about 4000.8720299455. The cubic root of 16006977 is about 252.0208316112.

The spelling of 16006977 in words is "sixteen million, six thousand, nine hundred seventy-seven".

Divisors: 1 3 7 9 21 27 37 49 63 81 109 111 147 189 259 327 333 441 567 763 777 981 999 1323 1813 2289 2331 2943 2997 3969 4033 5341 5439 6867 6993 8829 12099 16023 16317 20601 20979 28231 36297 48069 48951 61803 84693 108891 144207 146853 197617 254079 326673 432621 592851 762237 1778553 2286711 5335659 16006977