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16909120 = 26553997
BaseRepresentation
bin100000010000…
…0001101000000
31011211001221201
41000200031000
513312042440
61402230544
7263503504
oct100401500
934731851
1016909120
1195aa088
1257b5454
1336705c7
142362304
15174019a
hex1020340

16909120 has 56 divisors (see below), whose sum is σ = 41065704. Its totient is φ = 6629376.

The previous prime is 16909093. The next prime is 16909133. The reversal of 16909120 is 2190961.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 10916416 = 2448^2 + 3304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16462 + ... + 17458.

Almost surely, 216909120 is an apocalyptic number.

16909120 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 16909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532852).

16909120 is an abundant number, since it is smaller than the sum of its proper divisors (24156584).

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

16909120 is an equidigital number, since it uses as much as digits as its factorization.

16909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 16909120 is about 4112.0700383140. The cubic root of 16909120 is about 256.6691478556.

The spelling of 16909120 in words is "sixteen million, nine hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 997 1060 1696 1994 2120 3392 3988 4240 4985 7976 8480 9970 15952 16960 19940 31904 39880 52841 63808 79760 105682 159520 211364 264205 319040 422728 528410 845456 1056820 1690912 2113640 3381824 4227280 8454560 16909120