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1128320 = 2754143
BaseRepresentation
bin100010011011110000000
32010022202122
410103132000
5242101240
640103412
712406364
oct4233600
92108678
101128320
117007a6
12464b68
1330675b
142152a4
151744b5
hex113780

1128320 has 64 divisors (see below), whose sum is σ = 2827440. Its totient is φ = 430080.

The previous prime is 1128313. The next prime is 1128349. The reversal of 1128320 is 238211.

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

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, 26219 + ... + 26261.

21128320 is an apocalyptic number.

1128320 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 1128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413720).

1128320 is an abundant number, since it is smaller than the sum of its proper divisors (1699120).

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

1128320 is an equidigital number, since it uses as much as digits as its factorization.

1128320 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1128320 is about 1062.2240818208. The cubic root of 1128320 is about 104.1063999833.

The spelling of 1128320 in words is "one million, one hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 43 64 80 82 86 128 160 164 172 205 215 320 328 344 410 430 640 656 688 820 860 1312 1376 1640 1720 1763 2624 2752 3280 3440 3526 5248 5504 6560 6880 7052 8815 13120 13760 14104 17630 26240 27520 28208 35260 56416 70520 112832 141040 225664 282080 564160 1128320