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16979424 = 2537112297
BaseRepresentation
bin100000011000…
…1010111100000
31011221122101120
41000301113200
513321320144
61403532240
7264215460
oct100612740
934848346
1016979424
119647990
12582a080
1336965c7
14237dba0
151755e19
hex10315e0

16979424 has 96 divisors (see below), whose sum is σ = 55593216. Its totient is φ = 4408320.

The previous prime is 16979423. The next prime is 16979441. The reversal of 16979424 is 42497961.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16979423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6244 + ... + 8540.

It is an arithmetic number, because the mean of its divisors is an integer number (579096).

Almost surely, 216979424 is an apocalyptic number.

16979424 is a gapful number since it is divisible by the number (14) 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 16979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27796608).

16979424 is an abundant number, since it is smaller than the sum of its proper divisors (38613792).

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

16979424 is a wasteful number, since it uses less digits than its factorization.

16979424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2320 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 16979424 is about 4120.6096636299. The cubic root of 16979424 is about 257.0243785764.

The spelling of 16979424 in words is "sixteen million, nine hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2297 2464 3696 4594 6891 7392 9188 13782 16079 18376 25267 27564 32158 36752 48237 50534 55128 64316 73504 75801 96474 101068 110256 128632 151602 176869 192948 202136 220512 257264 303204 353738 385896 404272 514528 530607 606408 707476 771792 808544 1061214 1212816 1414952 1543584 2122428 2425632 2829904 4244856 5659808 8489712 16979424