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16133697 = 3217105449
BaseRepresentation
bin111101100010…
…111001000001
31010100200021100
4331202321001
513112234242
61333445013
7254064006
oct75427101
933320240
1016133697
11911a538
1254a0769
13345b688
1421dd8ad
15163a54c
hexf62e41

16133697 has 12 divisors (see below), whose sum is σ = 24675300. Its totient is φ = 10123008.

The previous prime is 16133681. The next prime is 16133713. The reversal of 16133697 is 79633161.

16133697 is a `hidden beast` number, since 1 + 613 + 36 + 9 + 7 = 666.

16133697 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16133681) and next prime (16133713).

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 6548481 = 3096^2 + 2559^2 .

It is not a de Polignac number, because 16133697 - 24 = 16133681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16133647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52572 + ... + 52877.

It is an arithmetic number, because the mean of its divisors is an integer number (2056275).

Almost surely, 216133697 is an apocalyptic number.

16133697 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16133697 is a deficient number, since it is larger than the sum of its proper divisors (8541603).

16133697 is a wasteful number, since it uses less digits than its factorization.

16133697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105472 (or 105469 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 16133697 is about 4016.6773582154. The cubic root of 16133697 is about 252.6841293299.

The spelling of 16133697 in words is "sixteen million, one hundred thirty-three thousand, six hundred ninety-seven".

Divisors: 1 3 9 17 51 153 105449 316347 949041 1792633 5377899 16133697