Search a number
-
+
16831740 = 2235536779
BaseRepresentation
bin100000000110…
…1010011111100
31011200010210210
41000031103330
513302103430
61400432420
7263032062
oct100152374
934603723
1016831740
119556a32
125778710
133644313
142342032
1517272b0
hex100d4fc

16831740 has 96 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 4283136.

The previous prime is 16831679. The next prime is 16831741. The reversal of 16831740 is 4713861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16831698 and 16831707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16831741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 213021 + ... + 213099.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 216831740 is an apocalyptic number.

16831740 is a gapful number since it is divisible by the number (10) 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 16831740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

16831740 is an abundant number, since it is smaller than the sum of its proper divisors (32519940).

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

16831740 is a wasteful number, since it uses less digits than its factorization.

16831740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 16831740 is about 4102.6503628752. The cubic root of 16831740 is about 256.2770235233.

It can be divided in two parts, 16831 and 740, that added together give a palindrome (17571).

The spelling of 16831740 in words is "sixteen million, eight hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 67 79 106 134 158 159 201 212 237 265 268 316 318 335 395 402 474 530 636 670 790 795 804 948 1005 1060 1185 1340 1580 1590 2010 2370 3180 3551 4020 4187 4740 5293 7102 8374 10586 10653 12561 14204 15879 16748 17755 20935 21172 21306 25122 26465 31758 35510 41870 42612 50244 52930 53265 62805 63516 71020 79395 83740 105860 106530 125610 158790 213060 251220 280529 317580 561058 841587 1122116 1402645 1683174 2805290 3366348 4207935 5610580 8415870 16831740