Search a number
-
+
130908330 = 23257172719
BaseRepresentation
bin1111100110110…
…00000010101010
3100010022211110200
413303120002222
5232003031310
620553453030
73146462640
oct763300252
9303284420
10130908330
1167992403
1237a11176
1321176067
1413559190
15b75c9c0
hex7cd80aa

130908330 has 144 divisors (see below), whose sum is σ = 413786880. Its totient is φ = 28122624.

The previous prime is 130908317. The next prime is 130908343. The reversal of 130908330 is 33809031.

It is an interprime number because it is at equal distance from previous prime (130908317) and next prime (130908343).

It is a junction number, because it is equal to n+sod(n) for n = 130908294 and 130908303.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 181711 + ... + 182429.

It is an arithmetic number, because the mean of its divisors is an integer number (2873520).

Almost surely, 2130908330 is an apocalyptic number.

130908330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130908330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206893440).

130908330 is an abundant number, since it is smaller than the sum of its proper divisors (282878550).

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

130908330 is a wasteful number, since it uses less digits than its factorization.

130908330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130908330 is about 11441.5178188910. The cubic root of 130908330 is about 507.7568147002.

The spelling of 130908330 in words is "one hundred thirty million, nine hundred eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 289 306 315 357 510 578 595 630 714 719 765 867 1071 1190 1438 1445 1530 1734 1785 2023 2142 2157 2601 2890 3570 3595 4046 4314 4335 5033 5202 5355 6069 6471 7190 8670 10066 10115 10710 10785 12138 12223 12942 13005 15099 18207 20230 21570 24446 25165 26010 30198 30345 32355 36414 36669 45297 50330 60690 61115 64710 73338 75495 85561 90594 91035 110007 122230 150990 171122 182070 183345 207791 220014 226485 256683 366690 415582 427805 452970 513366 550035 623373 770049 855610 1038955 1100070 1246746 1283415 1454537 1540098 1870119 2077910 2566830 2909074 3116865 3740238 3850245 4363611 6233730 7272685 7700490 8727222 9350595 13090833 14545370 18701190 21818055 26181666 43636110 65454165 130908330