| Base | Representation |
|---|---|
| bin | 111111101100… |
| … | …101001100000 |
| 3 | 1011102100021200 |
| 4 | 333230221200 |
| 5 | 13233313302 |
| 6 | 1353521200 |
| 7 | 261634035 |
| oct | 77545140 |
| 9 | 34370250 |
| 10 | 16697952 |
| 11 | 9475467 |
| 12 | 5713200 |
| 13 | 35c845b |
| 14 | 230938c |
| 15 | 16ec81c |
| hex | feca60 |
16697952 has 72 divisors (see below), whose sum is σ = 48799296. Its totient is φ = 5412096.
The previous prime is 16697951. The next prime is 16697969. The reversal of 16697952 is 25979661.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
Its product of digits (204120) is a multiple of the sum of its prime factors (1620).
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 16697898 and 16697907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16697951) 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 11 ways as a sum of consecutive naturals, for example, 9873 + ... + 11439.
It is an arithmetic number, because the mean of its divisors is an integer number (677768).
Almost surely, 216697952 is an apocalyptic number.
16697952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 16697952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24399648).
16697952 is an abundant number, since it is smaller than the sum of its proper divisors (32101344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16697952 is a wasteful number, since it uses less digits than its factorization.
16697952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1620 (or 1609 counting only the distinct ones).
The product of its digits is 204120, while the sum is 45.
The square root of 16697952 is about 4086.3127633601. The cubic root of 16697952 is about 255.5962058699.
The spelling of 16697952 in words is "sixteen million, six hundred ninety-seven thousand, nine hundred fifty-two".
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