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16936420 = 22517109457
BaseRepresentation
bin100000010011…
…0110111100100
31011212110101211
41000212313210
513313431140
61403001204
7263646214
oct100466744
934773354
1016936420
119618646
125809204
13367cb67
14236c244
1517482ea
hex1026de4

16936420 has 48 divisors (see below), whose sum is σ = 38087280. Its totient is φ = 6303744.

The previous prime is 16936397. The next prime is 16936421. The reversal of 16936420 is 2463961.

It can be written as a sum of positive squares in 8 ways, for example, as 2359296 + 14577124 = 1536^2 + 3818^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16936421) 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 15 ways as a sum of consecutive naturals, for example, 36832 + ... + 37288.

It is an arithmetic number, because the mean of its divisors is an integer number (793485).

Almost surely, 216936420 is an apocalyptic number.

16936420 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 16936420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043640).

16936420 is an abundant number, since it is smaller than the sum of its proper divisors (21150860).

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

16936420 is a wasteful number, since it uses less digits than its factorization.

16936420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 16936420 is about 4115.3881955412. The cubic root of 16936420 is about 256.8072055056.

The spelling of 16936420 in words is "sixteen million, nine hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 457 545 914 1090 1828 1853 2180 2285 3706 4570 7412 7769 9140 9265 15538 18530 31076 37060 38845 49813 77690 99626 155380 199252 249065 498130 846821 996260 1693642 3387284 4234105 8468210 16936420