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1193140 = 225132353
BaseRepresentation
bin100100011010010110100
32020121200101
410203102310
5301140030
641323444
713066354
oct4432264
92217611
101193140
11745473
12496584
1332a100
14230b64
151887ca
hex1234b4

1193140 has 36 divisors (see below), whose sum is σ = 2720844. Its totient is φ = 439296.

The previous prime is 1193131. The next prime is 1193149. The reversal of 1193140 is 413911.

1193140 = 2752 + 2762 + ... + 2892.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1193131) and next prime (1193149).

It can be written as a sum of positive squares in 6 ways, for example, as 283024 + 910116 = 532^2 + 954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1193149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3204 + ... + 3556.

It is an arithmetic number, because the mean of its divisors is an integer number (75579).

21193140 is an apocalyptic number.

1193140 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 1193140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360422).

1193140 is an abundant number, since it is smaller than the sum of its proper divisors (1527704).

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

1193140 is a wasteful number, since it uses less digits than its factorization.

1193140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1193140 is about 1092.3094799552. The cubic root of 1193140 is about 106.0629743277.

The spelling of 1193140 in words is "one million, one hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 353 676 706 845 1412 1690 1765 3380 3530 4589 7060 9178 18356 22945 45890 59657 91780 119314 238628 298285 596570 1193140