Search a number
-
+
1293700 = 225217761
BaseRepresentation
bin100111011110110000100
32102201121211
410323312010
5312344300
643421204
713665502
oct4736604
92381554
101293700
11803a81
12524804
13363b05
14259672
151a84ba
hex13bd84

1293700 has 36 divisors (see below), whose sum is σ = 2976372. Its totient is φ = 486400.

The previous prime is 1293659. The next prime is 1293701. The reversal of 1293700 is 73921.

It can be written as a sum of positive squares in 6 ways, for example, as 161604 + 1132096 = 402^2 + 1064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293701) 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, 1320 + ... + 2080.

It is an arithmetic number, because the mean of its divisors is an integer number (82677).

21293700 is an apocalyptic number.

1293700 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 1293700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488186).

1293700 is an abundant number, since it is smaller than the sum of its proper divisors (1682672).

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

1293700 is a wasteful number, since it uses less digits than its factorization.

1293700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 1293700 is about 1137.4093370463. The cubic root of 1293700 is about 108.9627008142.

The spelling of 1293700 in words is "one million, two hundred ninety-three thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 761 850 1522 1700 3044 3805 7610 12937 15220 19025 25874 38050 51748 64685 76100 129370 258740 323425 646850 1293700