Search a number
-
+
1072440 = 23345331
BaseRepresentation
bin100000101110100111000
32000111010000
410011310320
5233304230
634553000
712054435
oct4056470
92014100
101072440
11672816
12438760
132b71a5
141dcb8c
15162b60
hex105d38

1072440 has 80 divisors (see below), whose sum is σ = 3615480. Its totient is φ = 285120.

The previous prime is 1072439. The next prime is 1072447. The reversal of 1072440 is 442701.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3075 + ... + 3405.

21072440 is an apocalyptic number.

1072440 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 1072440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807740).

1072440 is an abundant number, since it is smaller than the sum of its proper divisors (2543040).

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

1072440 is a wasteful number, since it uses less digits than its factorization.

1072440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1072440 is about 1035.5867901823. The cubic root of 1072440 is about 102.3585993934.

The spelling of 1072440 in words is "one million, seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 331 360 405 540 648 662 810 993 1080 1324 1620 1655 1986 2648 2979 3240 3310 3972 4965 5958 6620 7944 8937 9930 11916 13240 14895 17874 19860 23832 26811 29790 35748 39720 44685 53622 59580 71496 89370 107244 119160 134055 178740 214488 268110 357480 536220 1072440