Search a number
-
+
16486900 = 2252173953
BaseRepresentation
bin111110111001…
…000111110100
31011000121202221
4332321013310
513210040100
61345212124
7260064523
oct76710764
934017687
1016486900
119340941
125631044
133553381
1422924ba
1516aa01a
hexfb91f4

16486900 has 36 divisors (see below), whose sum is σ = 36021132. Its totient is φ = 6549760.

The previous prime is 16486861. The next prime is 16486903. The reversal of 16486900 is 968461.

It can be written as a sum of positive squares in 6 ways, for example, as 51984 + 16434916 = 228^2 + 4054^2 .

It is a super-2 number, since 2×164869002 = 543635743220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16486903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16824 + ... + 17776.

It is an arithmetic number, because the mean of its divisors is an integer number (1000587).

Almost surely, 216486900 is an apocalyptic number.

16486900 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 16486900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18010566).

16486900 is an abundant number, since it is smaller than the sum of its proper divisors (19534232).

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

16486900 is a wasteful number, since it uses less digits than its factorization.

16486900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 16486900 is about 4060.4063836025. The cubic root of 16486900 is about 254.5147763739.

The spelling of 16486900 in words is "sixteen million, four hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 953 1730 1906 3460 3812 4325 4765 8650 9530 17300 19060 23825 47650 95300 164869 329738 659476 824345 1648690 3297380 4121725 8243450 16486900