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1131460 = 2251137139
BaseRepresentation
bin100010100001111000100
32010111001221
410110033010
5242201320
640130124
712421501
oct4241704
92114057
101131460
117030a0
12466944
13308005
142164a8
151753aa
hex1143c4

1131460 has 48 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 397440.

The previous prime is 1131451. The next prime is 1131463. The reversal of 1131460 is 641311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8071 + ... + 8209.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

21131460 is an apocalyptic number.

1131460 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 1131460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

1131460 is an abundant number, since it is smaller than the sum of its proper divisors (1549820).

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

1131460 is a wasteful number, since it uses less digits than its factorization.

1131460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1131460 is about 1063.7010858319. The cubic root of 1131460 is about 104.2028830514.

Adding to 1131460 its reverse (641311), we get a palindrome (1772771).

The spelling of 1131460 in words is "one million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 139 148 185 220 278 370 407 556 695 740 814 1390 1529 1628 2035 2780 3058 4070 5143 6116 7645 8140 10286 15290 20572 25715 30580 51430 56573 102860 113146 226292 282865 565730 1131460