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1075680 = 2534583
BaseRepresentation
bin100000110100111100000
32000122120000
410012213200
5233410210
635020000
712100044
oct4064740
92018500
101075680
116751a1
1243a600
132b87c8
14200024
15163ac0
hex1069e0

1075680 has 120 divisors (see below), whose sum is σ = 3841992. Its totient is φ = 283392.

The previous prime is 1075673. The next prime is 1075681. The reversal of 1075680 is 865701.

It is a tau number, because it is divible by the number of its divisors (120).

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 (1075681) 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, 12919 + ... + 13001.

21075680 is an apocalyptic number.

1075680 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 1075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920996).

1075680 is an abundant number, since it is smaller than the sum of its proper divisors (2766312).

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

1075680 is an equidigital number, since it uses as much as digits as its factorization.

1075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1075680 is about 1037.1499409439. The cubic root of 1075680 is about 102.4615759210.

The spelling of 1075680 in words is "one million, seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 83 90 96 108 120 135 144 160 162 166 180 216 240 249 270 288 324 332 360 405 415 432 480 498 540 648 664 720 747 810 830 864 996 1080 1245 1296 1328 1440 1494 1620 1660 1992 2160 2241 2490 2592 2656 2988 3240 3320 3735 3984 4320 4482 4980 5976 6480 6640 6723 7470 7968 8964 9960 11205 11952 12960 13280 13446 14940 17928 19920 22410 23904 26892 29880 33615 35856 39840 44820 53784 59760 67230 71712 89640 107568 119520 134460 179280 215136 268920 358560 537840 1075680