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130548320 = 2557229509
BaseRepresentation
bin1111100100000…
…00001001100000
3100002122112121222
413302000021200
5231410021240
620542034212
73143433230
oct762001140
9302575558
10130548320
1167766981
1237878968
132107b236
14134a3cc0
15b6daeb5
hex7c80260

130548320 has 96 divisors (see below), whose sum is σ = 354715200. Its totient is φ = 44476416.

The previous prime is 130548317. The next prime is 130548329. The reversal of 130548320 is 23845031.

It is a self number, because there is not a number n which added to its sum of digits gives 130548320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130548329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256226 + ... + 256734.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 2130548320 is an apocalyptic number.

130548320 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 130548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177357600).

130548320 is an abundant number, since it is smaller than the sum of its proper divisors (224166880).

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

130548320 is a wasteful number, since it uses less digits than its factorization.

130548320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 130548320 is about 11425.7743720065. The cubic root of 130548320 is about 507.2909279804.

The spelling of 130548320 in words is "one hundred thirty million, five hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 229 280 458 509 560 916 1018 1120 1145 1603 1832 2036 2290 2545 3206 3563 3664 4072 4580 5090 6412 7126 7328 8015 8144 9160 10180 12824 14252 16030 16288 17815 18320 20360 25648 28504 32060 35630 36640 40720 51296 57008 64120 71260 81440 114016 116561 128240 142520 233122 256480 285040 466244 570080 582805 815927 932488 1165610 1631854 1864976 2331220 3263708 3729952 4079635 4662440 6527416 8159270 9324880 13054832 16318540 18649760 26109664 32637080 65274160 130548320