Search a number
-
+
2093400 = 2332521163
BaseRepresentation
bin111111111000101011000
310221100121100
413333011120
51013442100
6112511400
723536131
oct7770530
93840540
102093400
1111aa891
1284b560
13583aca
143c6c88
152b5400
hex1ff158

2093400 has 72 divisors (see below), whose sum is σ = 7036380. Its totient is φ = 557760.

The previous prime is 2093393. The next prime is 2093407. The reversal of 2093400 is 43902.

It is an interprime number because it is at equal distance from previous prime (2093393) and next prime (2093407).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1219 + ... + 2381.

22093400 is an apocalyptic number.

2093400 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 2093400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518190).

2093400 is an abundant number, since it is smaller than the sum of its proper divisors (4942980).

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

2093400 is a wasteful number, since it uses less digits than its factorization.

2093400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2093400 is about 1446.8586662145. The cubic root of 2093400 is about 127.9236197960.

The spelling of 2093400 in words is "two million, ninety-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1163 1800 2326 3489 4652 5815 6978 9304 10467 11630 13956 17445 20934 23260 27912 29075 34890 41868 46520 52335 58150 69780 83736 87225 104670 116300 139560 174450 209340 232600 261675 348900 418680 523350 697800 1046700 2093400