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1328320 = 2657593
BaseRepresentation
bin101000100010011000000
32111111010001
411010103000
5320001240
644245344
714201440
oct5042300
92444101
101328320
11827a94
12540854
133767b6
14268120
151b389a
hex1444c0

1328320 has 56 divisors (see below), whose sum is σ = 3621024. Its totient is φ = 454656.

The previous prime is 1328317. The next prime is 1328323. The reversal of 1328320 is 238231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1328317) and next prime (1328323).

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1328323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1944 + ... + 2536.

21328320 is an apocalyptic number.

1328320 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 1328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810512).

1328320 is an abundant number, since it is smaller than the sum of its proper divisors (2292704).

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

1328320 is an equidigital number, since it uses as much as digits as its factorization.

1328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1328320 is about 1152.5276569350. The cubic root of 1328320 is about 109.9261211911.

The spelling of 1328320 in words is "one million, three hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 593 1120 1186 2240 2372 2965 4151 4744 5930 8302 9488 11860 16604 18976 20755 23720 33208 37952 41510 47440 66416 83020 94880 132832 166040 189760 265664 332080 664160 1328320