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1281120 = 253517157
BaseRepresentation
bin100111000110001100000
32102002100220
410320301200
5311443440
643243040
713614021
oct4706140
92362326
101281120
117a5585
12519480
1335b179
14254c48
151a48d0
hex138c60

1281120 has 96 divisors (see below), whose sum is σ = 4300128. Its totient is φ = 319488.

The previous prime is 1281101. The next prime is 1281131. The reversal of 1281120 is 211821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1281120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8082 + ... + 8238.

It is an arithmetic number, because the mean of its divisors is an integer number (44793).

21281120 is an apocalyptic number.

1281120 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 1281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150064).

1281120 is an abundant number, since it is smaller than the sum of its proper divisors (3019008).

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

1281120 is a wasteful number, since it uses less digits than its factorization.

1281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1281120 is about 1131.8657164169. The cubic root of 1281120 is about 108.6083636373.

Adding to 1281120 its reverse (211821), we get a palindrome (1492941).

The spelling of 1281120 in words is "one million, two hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 157 160 170 204 240 255 272 314 340 408 471 480 510 544 628 680 785 816 942 1020 1256 1360 1570 1632 1884 2040 2355 2512 2669 2720 3140 3768 4080 4710 5024 5338 6280 7536 8007 8160 9420 10676 12560 13345 15072 16014 18840 21352 25120 26690 32028 37680 40035 42704 53380 64056 75360 80070 85408 106760 128112 160140 213520 256224 320280 427040 640560 1281120