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130711780 = 22553317389
BaseRepresentation
bin1111100101010…
…00000011100100
3100002221211212001
413302220003210
5231430234110
620545335044
73145013623
oct762500344
9302854761
10130711780
1167868771
1237937484
1321107764
14135076ba
15b71e63a
hex7ca80e4

130711780 has 48 divisors (see below), whose sum is σ = 281277360. Its totient is φ = 51004928.

The previous prime is 130711769. The next prime is 130711799. The reversal of 130711780 is 87117031.

130711780 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16990884 + 113720896 = 4122^2 + 10664^2 .

130711780 is strictly pandigital in base 9.

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, 335826 + ... + 336214.

It is an arithmetic number, because the mean of its divisors is an integer number (5859945).

Almost surely, 2130711780 is an apocalyptic number.

130711780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130711780 is an abundant number, since it is smaller than the sum of its proper divisors (150565580).

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

130711780 is a wasteful number, since it uses less digits than its factorization.

130711780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 130711780 is about 11432.9252599674. The cubic root of 130711780 is about 507.5025665785.

The spelling of 130711780 in words is "one hundred thirty million, seven hundred eleven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 53 106 212 265 317 389 530 634 778 1060 1268 1556 1585 1945 3170 3890 6340 7780 16801 20617 33602 41234 67204 82468 84005 103085 123313 168010 206170 246626 336020 412340 493252 616565 1233130 2466260 6535589 13071178 26142356 32677945 65355890 130711780