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16920144 = 243353739
BaseRepresentation
bin100000010001…
…0111001010000
31011211122002000
41000202321100
513312421034
61402354000
7263550603
oct100427120
934748060
1016920144
11960739a
1257bb900
133675627
14236633a
151743599
hex1022e50

16920144 has 80 divisors (see below), whose sum is σ = 49550400. Its totient is φ = 5526144.

The previous prime is 16920143. The next prime is 16920149. The reversal of 16920144 is 44102961.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16920143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22527 + ... + 23265.

It is an arithmetic number, because the mean of its divisors is an integer number (619380).

Almost surely, 216920144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16920144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775200).

16920144 is an abundant number, since it is smaller than the sum of its proper divisors (32630256).

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

16920144 is a wasteful number, since it uses less digits than its factorization.

16920144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16920144 is about 4113.4102640024. The cubic root of 16920144 is about 256.7249147238.

The spelling of 16920144 in words is "sixteen million, nine hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 739 848 954 1272 1431 1478 1908 2217 2544 2862 2956 3816 4434 5724 5912 6651 7632 8868 11448 11824 13302 17736 19953 22896 26604 35472 39167 39906 53208 78334 79812 106416 117501 156668 159624 235002 313336 319248 352503 470004 626672 705006 940008 1057509 1410012 1880016 2115018 2820024 4230036 5640048 8460072 16920144