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130377760 = 2551747933
BaseRepresentation
bin1111100010101…
…10100000100000
3100002022212122221
413301112200200
5231334042020
620534240424
73142123042
oct761264040
9302285587
10130377760
116765a817
12377b6114
132101b706
141345ba92
15b6a56aa
hex7c56820

130377760 has 48 divisors (see below), whose sum is σ = 326142936. Its totient is φ = 49082368.

The previous prime is 130377757. The next prime is 130377761. The reversal of 130377760 is 67773031.

It can be written as a sum of positive squares in 4 ways, for example, as 118461456 + 11916304 = 10884^2 + 3452^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130377761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21247 + ... + 26686.

Almost surely, 2130377760 is an apocalyptic number.

130377760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130377760 is an abundant number, since it is smaller than the sum of its proper divisors (195765176).

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

130377760 is a wasteful number, since it uses less digits than its factorization.

130377760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47965 (or 47957 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 34.

The square root of 130377760 is about 11418.3081058448. The cubic root of 130377760 is about 507.0699082876.

The spelling of 130377760 in words is "one hundred thirty million, three hundred seventy-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 47933 95866 191732 239665 383464 479330 766928 814861 958660 1533856 1629722 1917320 3259444 3834640 4074305 6518888 7669280 8148610 13037776 16297220 26075552 32594440 65188880 130377760