Search a number
-
+
1292040 = 233253797
BaseRepresentation
bin100111011011100001000
32102122100100
410323130020
5312321130
643405400
713660611
oct4733410
92378310
101292040
11802802
12523860
13363129
14258c08
151a7c60
hex13b708

1292040 has 96 divisors (see below), whose sum is σ = 4357080. Its totient is φ = 331776.

The previous prime is 1292029. The next prime is 1292063. The reversal of 1292040 is 402921.

It can be written as a sum of positive squares in 4 ways, for example, as 1205604 + 86436 = 1098^2 + 294^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13272 + ... + 13368.

21292040 is an apocalyptic number.

1292040 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 1292040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178540).

1292040 is an abundant number, since it is smaller than the sum of its proper divisors (3065040).

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

1292040 is a wasteful number, since it uses less digits than its factorization.

1292040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1292040 is about 1136.6793743180. The cubic root of 1292040 is about 108.9160760164.

Adding to 1292040 its reverse (402921), we get a palindrome (1694961).

The spelling of 1292040 in words is "one million, two hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 97 111 120 148 180 185 194 222 291 296 333 360 370 388 444 485 555 582 666 740 776 873 888 970 1110 1164 1332 1455 1480 1665 1746 1940 2220 2328 2664 2910 3330 3492 3589 3880 4365 4440 5820 6660 6984 7178 8730 10767 11640 13320 14356 17460 17945 21534 28712 32301 34920 35890 43068 53835 64602 71780 86136 107670 129204 143560 161505 215340 258408 323010 430680 646020 1292040