Search a number
-
+
1073790 = 23354197
BaseRepresentation
bin100000110001001111110
32000112222000
410012021332
5233330130
635003130
712061404
oct4061176
92015860
101073790
11673833
124394a6
132b79a3
141dd474
15163260
hex10627e

1073790 has 64 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 276480.

The previous prime is 1073789. The next prime is 1073791. The reversal of 1073790 is 973701.

It is an interprime number because it is at equal distance from previous prime (1073789) and next prime (1073791).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11022 + ... + 11118.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

21073790 is an apocalyptic number.

1073790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

1073790 is an abundant number, since it is smaller than the sum of its proper divisors (1889730).

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

1073790 is a wasteful number, since it uses less digits than its factorization.

1073790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 1073790 is about 1036.2383895610. The cubic root of 1073790 is about 102.4015314509.

The spelling of 1073790 in words is "one million, seventy-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 97 123 135 194 205 246 270 291 369 410 485 582 615 738 873 970 1107 1230 1455 1746 1845 2214 2619 2910 3690 3977 4365 5238 5535 7954 8730 11070 11931 13095 19885 23862 26190 35793 39770 59655 71586 107379 119310 178965 214758 357930 536895 1073790