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1328976 = 243211839
BaseRepresentation
bin101000100011101010000
32111112000100
411010131100
5320011401
644252400
714203365
oct5043520
92445010
101328976
11828530
12541100
13376b9c
1426846c
151b3b86
hex144750

1328976 has 60 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 402240.

The previous prime is 1328969. The next prime is 1328981. The reversal of 1328976 is 6798231.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18144) is a multiple of the sum of its prime factors (864).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1328976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

21328976 is an apocalyptic number.

1328976 is a gapful number since it is divisible by the number (16) 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 1328976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120).

1328976 is an abundant number, since it is smaller than the sum of its proper divisors (2733264).

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

1328976 is a wasteful number, since it uses less digits than its factorization.

1328976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1328976 is about 1152.8122136758. The cubic root of 1328976 is about 109.9442141375.

It can be divided in two parts, 1328 and 976, that added together give a square (2304 = 482).

The spelling of 1328976 in words is "one million, three hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 839 1584 1678 2517 3356 5034 6712 7551 9229 10068 13424 15102 18458 20136 27687 30204 36916 40272 55374 60408 73832 83061 110748 120816 147664 166122 221496 332244 442992 664488 1328976