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16955424 = 2532113521
BaseRepresentation
bin100000010101…
…1100000100000
31011220102110200
41000223200200
513320033144
61403225200
7264055503
oct100534040
934812420
1016955424
119630952
125818200
1336886c5
14237513a
15174dc69
hex102b820

16955424 has 72 divisors (see below), whose sum is σ = 48737052. Its totient is φ = 5591040.

The previous prime is 16955413. The next prime is 16955431. The reversal of 16955424 is 42455961.

It can be written as a sum of positive squares in 2 ways, for example, as 13927824 + 3027600 = 3732^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32284 + ... + 32804.

Almost surely, 216955424 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 16955424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368526).

16955424 is an abundant number, since it is smaller than the sum of its proper divisors (31781628).

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

16955424 is a wasteful number, since it uses less digits than its factorization.

16955424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 16955424 is about 4117.6964434013. The cubic root of 16955424 is about 256.9032222530.

The spelling of 16955424 in words is "sixteen million, nine hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 521 678 904 1017 1042 1356 1563 1808 2034 2084 2712 3126 3616 4068 4168 4689 5424 6252 8136 8336 9378 10848 12504 16272 16672 18756 25008 32544 37512 50016 58873 75024 117746 150048 176619 235492 353238 470984 529857 706476 941968 1059714 1412952 1883936 2119428 2825904 4238856 5651808 8477712 16955424