Search a number
-
+
1107040 = 255111737
BaseRepresentation
bin100001110010001100000
32002020120111
410032101200
5240411130
635421104
712260344
oct4162140
92066514
101107040
11696810
12454794
132c9b6c
1420b624
1516d02a
hex10e460

1107040 has 96 divisors (see below), whose sum is σ = 3102624. Its totient is φ = 368640.

The previous prime is 1107031. The next prime is 1107047. The reversal of 1107040 is 407011.

It is a self number, because there is not a number n which added to its sum of digits gives 1107040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29902 + ... + 29938.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

21107040 is an apocalyptic number.

1107040 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 1107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312).

1107040 is an abundant number, since it is smaller than the sum of its proper divisors (1995584).

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

1107040 is a wasteful number, since it uses less digits than its factorization.

1107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1107040 is about 1052.1596836982. The cubic root of 1107040 is about 103.4477631648.

It can be divided in two parts, 110 and 7040, that multiplied together give a square (774400 = 8802).

The spelling of 1107040 in words is "one million, one hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 37 40 44 55 68 74 80 85 88 110 136 148 160 170 176 185 187 220 272 296 340 352 370 374 407 440 544 592 629 680 740 748 814 880 935 1184 1258 1360 1480 1496 1628 1760 1870 2035 2516 2720 2960 2992 3145 3256 3740 4070 5032 5920 5984 6290 6512 6919 7480 8140 10064 12580 13024 13838 14960 16280 20128 25160 27676 29920 32560 34595 50320 55352 65120 69190 100640 110704 138380 221408 276760 553520 1107040