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1003285696 = 2673975641
BaseRepresentation
bin111011110011001…
…110110011000000
32120220212012020111
4323303032303000
54023320120241
6243315521104
733601534120
oct7363166300
92526765214
101003285696
11475368436
1223bbb9194
1312cb1a89a
1497364c80
155d12ec81
hex3bccecc0

1003285696 has 56 divisors (see below), whose sum is σ = 2281444256. Its totient is φ = 428820480.

The previous prime is 1003285693. The next prime is 1003285721. The reversal of 1003285696 is 6965823001.

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

It is not an unprimeable number, because it can be changed into a prime (1003285693) 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, 175036 + ... + 180676.

It is an arithmetic number, because the mean of its divisors is an integer number (40740076).

Almost surely, 21003285696 is an apocalyptic number.

1003285696 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 1003285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140722128).

1003285696 is an abundant number, since it is smaller than the sum of its proper divisors (1278158560).

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

1003285696 is an equidigital number, since it uses as much as digits as its factorization.

1003285696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6057 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1003285696 is about 31674.6854128024. The cubic root of 1003285696 is about 1001.0940346517.

The spelling of 1003285696 in words is "one billion, three million, two hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 397 448 794 1588 2779 3176 5558 5641 6352 11116 11282 12704 22232 22564 25408 39487 44464 45128 78974 88928 90256 157948 177856 180512 315896 361024 631792 1263584 2239477 2527168 4478954 8957908 15676339 17915816 31352678 35831632 62705356 71663264 125410712 143326528 250821424 501642848 1003285696