Search a number
-
+
1112960 = 2753747
BaseRepresentation
bin100001111101110000000
32002112200202
410033232000
5241103320
635504332
712313532
oct4175600
92075622
101112960
116a0202
124580a8
132cc774
1420d852
1516eb75
hex10fb80

1112960 has 64 divisors (see below), whose sum is σ = 2790720. Its totient is φ = 423936.

The previous prime is 1112959. The next prime is 1112971. The reversal of 1112960 is 692111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23657 + ... + 23703.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

21112960 is an apocalyptic number.

1112960 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 1112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360).

1112960 is an abundant number, since it is smaller than the sum of its proper divisors (1677760).

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

1112960 is an equidigital number, since it uses as much as digits as its factorization.

1112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 1112960 is about 1054.9691938630. The cubic root of 1112960 is about 103.6318343059.

The spelling of 1112960 in words is "one million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 47 64 74 80 94 128 148 160 185 188 235 296 320 370 376 470 592 640 740 752 940 1184 1480 1504 1739 1880 2368 2960 3008 3478 3760 4736 5920 6016 6956 7520 8695 11840 13912 15040 17390 23680 27824 30080 34780 55648 69560 111296 139120 222592 278240 556480 1112960