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213400 = 23521197
BaseRepresentation
bin110100000110011000
3101211201201
4310012120
523312100
64323544
71546105
oct640630
9354651
10213400
11136370
12a35b4
1376195
1457aac
154336a
hex34198

213400 has 48 divisors (see below), whose sum is σ = 546840. Its totient is φ = 76800.

The previous prime is 213397. The next prime is 213407. The reversal of 213400 is 4312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213407) 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 11 ways as a sum of consecutive naturals, for example, 2152 + ... + 2248.

2213400 is an apocalyptic number.

213400 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 213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420).

213400 is an abundant number, since it is smaller than the sum of its proper divisors (333440).

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

213400 is a wasteful number, since it uses less digits than its factorization.

213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 213400 is about 461.9523784980. The cubic root of 213400 is about 59.7582868124.

Multiplying 213400 by its product of nonzero digits (24), we get a triangular number (5121600 = T3200).

Adding to 213400 its reverse (4312), we get a palindrome (217712).

The spelling of 213400 in words is "two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2425 3880 4268 4850 5335 8536 9700 10670 19400 21340 26675 42680 53350 106700 213400