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16972164 = 22321142859
BaseRepresentation
bin100000010111…
…1100110000100
31011221021102200
41000233212010
513321102124
61403434500
7264155346
oct100574604
934837380
1016972164
119642490
125825a30
133693201
14237b296
151753bc9
hex102f984

16972164 has 36 divisors (see below), whose sum is σ = 46803120. Its totient is φ = 5142960.

The previous prime is 16972157. The next prime is 16972169. The reversal of 16972164 is 46127961.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16972169) 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, 21034 + ... + 21825.

Almost surely, 216972164 is an apocalyptic number.

It is an amenable number.

16972164 is an abundant number, since it is smaller than the sum of its proper divisors (29830956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16972164 is a wasteful number, since it uses less digits than its factorization.

16972164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42880 (or 42875 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 16972164 is about 4119.7286318397. The cubic root of 16972164 is about 256.9877408395.

The spelling of 16972164 in words is "sixteen million, nine hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 42859 85718 128577 171436 257154 385731 471449 514308 771462 942898 1414347 1542924 1885796 2828694 4243041 5657388 8486082 16972164