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1316928 = 263193
BaseRepresentation
bin101000001100001000000
32110220111010
411001201000
5314120203
644120520
714123304
oct5014100
92426433
101316928
1181a478
12536140
13371562
14263d04
151b0303
hex141840

1316928 has 56 divisors (see below), whose sum is σ = 3677920. Its totient is φ = 415872.

The previous prime is 1316923. The next prime is 1316951. The reversal of 1316928 is 8296131.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=76.

Its product of digits (2592) is a multiple of the sum of its prime divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1316895 and 1316904.

It is not an unprimeable number, because it can be changed into a prime (1316921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69303 + ... + 69321.

21316928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838960).

1316928 is an abundant number, since it is smaller than the sum of its proper divisors (2360992).

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

1316928 is an frugal number, since it uses more digits than its factorization.

1316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 24 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1316928 is about 1147.5748341612. The cubic root of 1316928 is about 109.6109673434.

The spelling of 1316928 in words is "one million, three hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 361 456 608 722 912 1083 1216 1444 1824 2166 2888 3648 4332 5776 6859 8664 11552 13718 17328 20577 23104 27436 34656 41154 54872 69312 82308 109744 164616 219488 329232 438976 658464 1316928