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16920904 = 23711132113
BaseRepresentation
bin100000010001…
…1000101001000
31011211200010011
41000203011020
513312432104
61402401304
7263553040
oct100430510
934750104
1016920904
119607a20
125800234
133675a90
142366720
151743904
hex1023148

16920904 has 64 divisors (see below), whose sum is σ = 42618240. Its totient is φ = 6082560.

The previous prime is 16920901. The next prime is 16920979. The reversal of 16920904 is 40902961.

16920904 = T337 + T338 + ... + T518.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16920901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6952 + ... + 9064.

It is an arithmetic number, because the mean of its divisors is an integer number (665910).

Almost surely, 216920904 is an apocalyptic number.

16920904 is a gapful number since it is divisible by the number (14) 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 16920904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21309120).

16920904 is an abundant number, since it is smaller than the sum of its proper divisors (25697336).

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

16920904 is a wasteful number, since it uses less digits than its factorization.

16920904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 16920904 is about 4113.5026437332. The cubic root of 16920904 is about 256.7287584266.

The spelling of 16920904 in words is "sixteen million, nine hundred twenty thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2113 4004 4226 8008 8452 14791 16904 23243 27469 29582 46486 54938 59164 92972 109876 118328 162701 185944 192283 219752 302159 325402 384566 604318 650804 769132 1208636 1301608 1538264 2115113 2417272 4230226 8460452 16920904