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16849840 = 245730089
BaseRepresentation
bin100000001000…
…1101110110000
31011201001122011
41000101232300
513303143330
61401052304
7263135620
oct100215660
934631564
1016849840
119569597
125787094
13364c627
142348880
15172c82a
hex1011bb0

16849840 has 40 divisors (see below), whose sum is σ = 44773920. Its totient is φ = 5776896.

The previous prime is 16849793. The next prime is 16849843. The reversal of 16849840 is 4894861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 16849793 and 16849802.

It is not an unprimeable number, because it can be changed into a prime (16849843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14485 + ... + 15604.

It is an arithmetic number, because the mean of its divisors is an integer number (1119348).

Almost surely, 216849840 is an apocalyptic number.

16849840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16849840 is an abundant number, since it is smaller than the sum of its proper divisors (27924080).

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

16849840 is a wasteful number, since it uses less digits than its factorization.

16849840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30109 (or 30103 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 16849840 is about 4104.8556612870. The cubic root of 16849840 is about 256.3688530550.

It can be divided in two parts, 16849 and 840, that added together give a square (17689 = 1332).

The spelling of 16849840 in words is "sixteen million, eight hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 30089 60178 120356 150445 210623 240712 300890 421246 481424 601780 842492 1053115 1203560 1684984 2106230 2407120 3369968 4212460 8424920 16849840