Search a number
-
+
5466100 = 2252471163
BaseRepresentation
bin10100110110011111110100
3101021201002011
4110312133310
52344403400
6313054004
764314103
oct24663764
911251064
105466100
1130a3842
1219b7304
131194ca3
14a2403a
1572e8ba
hex5367f4

5466100 has 36 divisors (see below), whose sum is σ = 12124224. Its totient is φ = 2138080.

The previous prime is 5466073. The next prime is 5466103. The reversal of 5466100 is 16645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466103) 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, 4119 + ... + 5281.

It is an arithmetic number, because the mean of its divisors is an integer number (336784).

Almost surely, 25466100 is an apocalyptic number.

5466100 is a gapful number since it is divisible by the number (50) 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 5466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062112).

5466100 is an abundant number, since it is smaller than the sum of its proper divisors (6658124).

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

5466100 is a wasteful number, since it uses less digits than its factorization.

5466100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5466100 is about 2337.9692042454. The cubic root of 5466100 is about 176.1540060403.

The spelling of 5466100 in words is "five million, four hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1163 1175 2326 2350 4652 4700 5815 11630 23260 29075 54661 58150 109322 116300 218644 273305 546610 1093220 1366525 2733050 5466100