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1341120 = 263511127
BaseRepresentation
bin101000111011011000000
32112010200010
411013123000
5320403440
644424520
714253654
oct5073300
92463603
101341120
11836670
12548140
1337c581
1426ca64
151b7580
hex1476c0

1341120 has 112 divisors (see below), whose sum is σ = 4681728. Its totient is φ = 322560.

The previous prime is 1341103. The next prime is 1341121. The reversal of 1341120 is 211431.

1341120 = 332 + 342 + ... + 1592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1341096 and 1341105.

It is not an unprimeable number, because it can be changed into a prime (1341121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10497 + ... + 10623.

21341120 is an apocalyptic number.

1341120 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 1341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340864).

1341120 is an abundant number, since it is smaller than the sum of its proper divisors (3340608).

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

1341120 is a wasteful number, since it uses less digits than its factorization.

1341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1341120 is about 1158.0673555541. The cubic root of 1341120 is about 110.2780842785.

Adding to 1341120 its reverse (211431), we get a palindrome (1552551).

It can be divided in two parts, 13411 and 20, that added together give a palindrome (13431).

The spelling of 1341120 in words is "one million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 127 132 160 165 176 192 220 240 254 264 320 330 352 381 440 480 508 528 635 660 704 762 880 960 1016 1056 1270 1320 1397 1524 1760 1905 2032 2112 2540 2640 2794 3048 3520 3810 4064 4191 5080 5280 5588 6096 6985 7620 8128 8382 10160 10560 11176 12192 13970 15240 16764 20320 20955 22352 24384 27940 30480 33528 40640 41910 44704 55880 60960 67056 83820 89408 111760 121920 134112 167640 223520 268224 335280 447040 670560 1341120