Search a number
-
+
16920672 = 253434099
BaseRepresentation
bin100000010001…
…1000001100000
31011211122210120
41000203001200
513312430142
61402400240
7263552256
oct100430140
934748716
1016920672
11960782a
125800080
133675942
1423665d6
1517437ec
hex1023060

16920672 has 48 divisors (see below), whose sum is σ = 45460800. Its totient is φ = 5507712.

The previous prime is 16920671. The next prime is 16920677. The reversal of 16920672 is 27602961.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16920671) 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, 2079 + ... + 6177.

It is an arithmetic number, because the mean of its divisors is an integer number (947100).

Almost surely, 216920672 is an apocalyptic number.

16920672 is a gapful number since it is divisible by the number (12) 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 16920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22730400).

16920672 is an abundant number, since it is smaller than the sum of its proper divisors (28540128).

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

16920672 is a wasteful number, since it uses less digits than its factorization.

16920672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 16920672 is about 4113.4744438248. The cubic root of 16920672 is about 256.7275850979.

The spelling of 16920672 in words is "sixteen million, nine hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4099 4128 8198 12297 16396 24594 32792 49188 65584 98376 131168 176257 196752 352514 393504 528771 705028 1057542 1410056 2115084 2820112 4230168 5640224 8460336 16920672