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1293400 = 235229223
BaseRepresentation
bin100111011110001011000
32102201012201
410323301120
5312342100
643415544
713664563
oct4736130
92381181
101293400
11803829
125245b4
13363934
142594da
151a836a
hex13bc58

1293400 has 48 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 497280.

The previous prime is 1293373. The next prime is 1293401. The reversal of 1293400 is 43921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5689 + ... + 5911.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

21293400 is an apocalyptic number.

1293400 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 1293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1293400 is an abundant number, since it is smaller than the sum of its proper divisors (1831400).

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

1293400 is a wasteful number, since it uses less digits than its factorization.

1293400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1293400 is about 1137.2774507569. The cubic root of 1293400 is about 108.9542775998.

The spelling of 1293400 in words is "one million, two hundred ninety-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 223 232 290 446 580 725 892 1115 1160 1450 1784 2230 2900 4460 5575 5800 6467 8920 11150 12934 22300 25868 32335 44600 51736 64670 129340 161675 258680 323350 646700 1293400