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771000104 = 237217311369
BaseRepresentation
bin101101111101001…
…000011100101000
31222201202212022102
4231331020130220
53034334000404
6204301112532
725051251500
oct5575103450
91881685272
10771000104
11366233876
12196258748
13c396b1a4
147457aa00
1547a4971e
hex2df48728

771000104 has 48 divisors (see below), whose sum is σ = 1691514900. Its totient is φ = 328489728.

The previous prime is 771000073. The next prime is 771000127. The reversal of 771000104 is 401000177.

771000104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 712783204 + 58216900 = 26698^2 + 7630^2 .

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, 62132 + ... + 73500.

Almost surely, 2771000104 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 771000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845757450).

771000104 is an abundant number, since it is smaller than the sum of its proper divisors (920514796).

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

771000104 is a wasteful number, since it uses less digits than its factorization.

771000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 771000104 is about 27766.8886265638. Note that the first 3 decimals coincide. The cubic root of 771000104 is about 916.9622966842.

The spelling of 771000104 in words is "seven hundred seventy-one million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 49 56 98 173 196 346 392 692 1211 1384 2422 4844 8477 9688 11369 16954 22738 33908 45476 67816 79583 90952 159166 318332 557081 636664 1114162 1966837 2228324 3933674 4456648 7867348 13767859 15734696 27535718 55071436 96375013 110142872 192750026 385500052 771000104