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801131440 = 24582712109
BaseRepresentation
bin101111110000000…
…100101110110000
32001211110200201211
4233300010232300
53120042201230
6211255005504
725565335114
oct5760045660
92054420654
10801131440
113812439aa
121a4369894
13c9c8ab95
1478581744
154a4ec42a
hex2fc04bb0

801131440 has 40 divisors (see below), whose sum is σ = 1865036880. Its totient is φ = 320038656.

The previous prime is 801131413. The next prime is 801131449. The reversal of 801131440 is 44131108.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (801131449) 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, 60106 + ... + 72214.

It is an arithmetic number, because the mean of its divisors is an integer number (46625922).

Almost surely, 2801131440 is an apocalyptic number.

801131440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801131440 is an abundant number, since it is smaller than the sum of its proper divisors (1063905440).

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

801131440 is a wasteful number, since it uses less digits than its factorization.

801131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12949 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 801131440 is about 28304.2654029388. The cubic root of 801131440 is about 928.7552005056.

Adding to 801131440 its reverse (44131108), we get a palindrome (845262548).

The spelling of 801131440 in words is "eight hundred one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 827 1654 3308 4135 6616 8270 12109 13232 16540 24218 33080 48436 60545 66160 96872 121090 193744 242180 484360 968720 10014143 20028286 40056572 50070715 80113144 100141430 160226288 200282860 400565720 801131440