Search a number
-
+
21346500 = 22353719107
BaseRepresentation
bin101000101101…
…1100011000100
31111011111220010
41101123203010
520431042000
62041310220
7346304460
oct121334304
944144803
1021346500
111105aa3a
127195370
134565286
142b994a0
151d19d50
hex145b8c4

21346500 has 192 divisors, whose sum is σ = 75479040. Its totient is φ = 4579200.

The previous prime is 21346489. The next prime is 21346513. The reversal of 21346500 is 564312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199447 + ... + 199553.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 221346500 is an apocalyptic number.

21346500 is a gapful number since it is divisible by the number (20) 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 21346500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

21346500 is an abundant number, since it is smaller than the sum of its proper divisors (54132540).

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

21346500 is a wasteful number, since it uses less digits than its factorization.

21346500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 21346500 is about 4620.2272671374. The cubic root of 21346500 is about 277.4015558607.

The spelling of 21346500 in words is "twenty-one million, three hundred forty-six thousand, five hundred".