Search a number
-
+
16873974 = 233132432
BaseRepresentation
bin100000001011…
…1100111110110
31011202021202000
41000113213312
513304431344
61401400130
7263266155
oct100274766
934667660
1016873974
119585737
125799046
13365a600
14235359c
151734a69
hex10179f6

16873974 has 72 divisors (see below), whose sum is σ = 41570280. Its totient is φ = 5071248.

The previous prime is 16873949. The next prime is 16873991. The reversal of 16873974 is 47937861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392397 + ... + 392439.

It is an arithmetic number, because the mean of its divisors is an integer number (577365).

Almost surely, 216873974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16873974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20785140).

16873974 is an abundant number, since it is smaller than the sum of its proper divisors (24696306).

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

16873974 is a wasteful number, since it uses less digits than its factorization.

16873974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 16873974 is about 4107.7942986474. The cubic root of 16873974 is about 256.4911935693.

It can be divided in two parts, 1687397 and 4, that added together give a square (1687401 = 12992).

The spelling of 16873974 in words is "sixteen million, eight hundred seventy-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 169 234 258 338 351 387 507 559 702 774 1014 1118 1161 1521 1677 1849 2322 3042 3354 3698 4563 5031 5547 7267 9126 10062 11094 14534 15093 16641 21801 24037 30186 33282 43602 48074 49923 65403 72111 99846 130806 144222 196209 216333 312481 392418 432666 624962 648999 937443 1297998 1874886 2812329 5624658 8436987 16873974