Search a number
-
+
16979430 = 23513217197
BaseRepresentation
bin100000011000…
…1010111100110
31011221122101210
41000301113212
513321320210
61403532250
7264215466
oct100612746
934848353
1016979430
119647996
12582a086
133696600
14237dba6
151755e20
hex10315e6

16979430 has 96 divisors (see below), whose sum is σ = 46959264. Its totient is φ = 3913728.

The previous prime is 16979423. The next prime is 16979441. The reversal of 16979430 is 3497961.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86092 + ... + 86288.

It is an arithmetic number, because the mean of its divisors is an integer number (489159).

Almost surely, 216979430 is an apocalyptic number.

16979430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16979430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23479632).

16979430 is an abundant number, since it is smaller than the sum of its proper divisors (29979834).

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

16979430 is a wasteful number, since it uses less digits than its factorization.

16979430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 16979430 is about 4120.6103916774. The cubic root of 16979430 is about 257.0244088512.

The spelling of 16979430 in words is "sixteen million, nine hundred seventy-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 169 170 195 197 221 255 338 390 394 442 507 510 591 663 845 985 1014 1105 1182 1326 1690 1970 2210 2535 2561 2873 2955 3315 3349 5070 5122 5746 5910 6630 6698 7683 8619 10047 12805 14365 15366 16745 17238 20094 25610 28730 33293 33490 38415 43095 43537 50235 66586 76830 86190 87074 99879 100470 130611 166465 199758 217685 261222 332930 435370 499395 565981 653055 998790 1131962 1306110 1697943 2829905 3395886 5659810 8489715 16979430