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16980414 = 23112191231
BaseRepresentation
bin100000011000…
…1100110111110
31011221200202020
41000301212332
513321333124
61403541010
7264221403
oct100614676
934850666
1016980414
119648700
12582a766
133696ba9
1423802aa
151756379
hex10319be

16980414 has 48 divisors (see below), whose sum is σ = 39325440. Its totient is φ = 4870800.

The previous prime is 16980409. The next prime is 16980421. The reversal of 16980414 is 41408961.

It is a super-2 number, since 2×169804142 = 576668919222792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13179 + ... + 14409.

It is an arithmetic number, because the mean of its divisors is an integer number (819280).

Almost surely, 216980414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16980414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662720).

16980414 is an abundant number, since it is smaller than the sum of its proper divisors (22345026).

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

16980414 is a wasteful number, since it uses less digits than its factorization.

16980414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 16980414 is about 4120.7297897339. The cubic root of 16980414 is about 257.0293738222.

The spelling of 16980414 in words is "sixteen million, nine hundred eighty thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1231 1254 2299 2462 3693 4598 6897 7386 13541 13794 23389 27082 40623 46778 70167 81246 140334 148951 257279 297902 446853 514558 771837 893706 1543674 2830069 5660138 8490207 16980414