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130654640 = 24519431999
BaseRepresentation
bin1111100100110…
…10000110110000
3100002211221110202
413302122012300
5231421422030
620544214332
73144355214
oct762320660
9302757422
10130654640
1167829846
123790a3a8
13210b774c
14134d0944
15b70c745
hex7c9a1b0

130654640 has 80 divisors (see below), whose sum is σ = 327360000. Its totient is φ = 48335616.

The previous prime is 130654607. The next prime is 130654649. The reversal of 130654640 is 46456031.

It is a happy number.

130654640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (130654649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64361 + ... + 66359.

It is an arithmetic number, because the mean of its divisors is an integer number (4092000).

Almost surely, 2130654640 is an apocalyptic number.

130654640 is a gapful number since it is divisible by the number (10) 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 130654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680000).

130654640 is an abundant number, since it is smaller than the sum of its proper divisors (196705360).

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

130654640 is a wasteful number, since it uses less digits than its factorization.

130654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 130654640 is about 11430.4260638001. The cubic root of 130654640 is about 507.4286050650.

The spelling of 130654640 in words is "one hundred thirty million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 760 817 860 1520 1634 1720 1999 3268 3440 3998 4085 6536 7996 8170 9995 13072 15992 16340 19990 31984 32680 37981 39980 65360 75962 79960 85957 151924 159920 171914 189905 303848 343828 379810 429785 607696 687656 759620 859570 1375312 1519240 1633183 1719140 3038480 3266366 3438280 6532732 6876560 8165915 13065464 16331830 26130928 32663660 65327320 130654640