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771121540 = 225718130431
BaseRepresentation
bin101101111101100…
…110000110000100
31222202000000220001
4231331212012010
53034401342130
6204303451044
725052265520
oct5575460604
91882000801
10771121540
11366307032
121962b6a84
13c39b1547
14745acd80
1547a706ca
hex2df66184

771121540 has 48 divisors (see below), whose sum is σ = 1860977664. Its totient is φ = 262915200.

The previous prime is 771121489. The next prime is 771121553. The reversal of 771121540 is 45121177.

771121540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 771121499 and 771121508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10125 + ... + 40555.

It is an arithmetic number, because the mean of its divisors is an integer number (38770368).

Almost surely, 2771121540 is an apocalyptic number.

771121540 is a gapful number since it is divisible by the number (70) 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 771121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930488832).

771121540 is an abundant number, since it is smaller than the sum of its proper divisors (1089856124).

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

771121540 is a wasteful number, since it uses less digits than its factorization.

771121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30628 (or 30626 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 771121540 is about 27769.0752456757. The cubic root of 771121540 is about 917.0104360585.

The spelling of 771121540 in words is "seven hundred seventy-one million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 25340 30431 60862 121724 152155 213017 304310 426034 608620 852068 1065085 2130170 4260340 5508011 11016022 22032044 27540055 38556077 55080110 77112154 110160220 154224308 192780385 385560770 771121540