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16972033 = 138914669
BaseRepresentation
bin100000010111…
…1100100000001
31011221021020211
41000233210001
513321101113
61403434121
7264155101
oct100574401
934837224
1016972033
119642381
125825941
133693130
14237b201
151753b3d
hex102f901

16972033 has 8 divisors (see below), whose sum is σ = 18484200. Its totient is φ = 15489408.

The previous prime is 16972027. The next prime is 16972037. The reversal of 16972033 is 33027961.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 16785409 = 432^2 + 4097^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16972033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16971986 and 16972004.

It is not an unprimeable number, because it can be changed into a prime (16972037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6178 + ... + 8491.

It is an arithmetic number, because the mean of its divisors is an integer number (2310525).

Almost surely, 216972033 is an apocalyptic number.

16972033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16972033 is a deficient number, since it is larger than the sum of its proper divisors (1512167).

16972033 is a wasteful number, since it uses less digits than its factorization.

16972033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14771.

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 16972033 is about 4119.7127327036. The cubic root of 16972033 is about 256.9870796494.

Adding to 16972033 its reverse (33027961), we get a palindrome (49999994).

The spelling of 16972033 in words is "sixteen million, nine hundred seventy-two thousand, thirty-three".

Divisors: 1 13 89 1157 14669 190697 1305541 16972033