Search a number
-
+
130679280 = 24325181499
BaseRepresentation
bin1111100101000…
…00000111110000
3100002220012021100
413302200013300
5231423214110
620544524400
73144520104
oct762400760
9302805240
10130679280
1167846306
1237920700
13210c5a24
14134d9904
15b714bc0
hex7ca01f0

130679280 has 60 divisors (see below), whose sum is σ = 438867000. Its totient is φ = 34847616.

The previous prime is 130679243. The next prime is 130679281. The reversal of 130679280 is 82976031.

130679280 is a `hidden beast` number, since 1 + 306 + 79 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130679281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90030 + ... + 91469.

It is an arithmetic number, because the mean of its divisors is an integer number (7314450).

Almost surely, 2130679280 is an apocalyptic number.

130679280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130679280 is an abundant number, since it is smaller than the sum of its proper divisors (308187720).

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

130679280 is a wasteful number, since it uses less digits than its factorization.

130679280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181518 (or 181509 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130679280 is about 11431.5038380783. The cubic root of 130679280 is about 507.4605015083.

The spelling of 130679280 in words is "one hundred thirty million, six hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 181499 362998 544497 725996 907495 1088994 1451992 1633491 1814990 2177988 2722485 2903984 3266982 3629980 4355976 5444970 6533964 7259960 8167455 8711952 10889940 13067928 14519920 16334910 21779880 26135856 32669820 43559760 65339640 130679280