Search a number
-
+
130183020 = 2232511371777
BaseRepresentation
bin1111100001001…
…10111101101100
3100001221222112100
413300212331230
5231311324040
620530135100
73140352222
oct760467554
9301858470
10130183020
1167537480
1237721490
1320c80b96
141340ab12
15b667b30
hex7c26f6c

130183020 has 144 divisors (see below), whose sum is σ = 442679328. Its totient is φ = 30689280.

The previous prime is 130182977. The next prime is 130183033. The reversal of 130183020 is 20381031.

130183020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130182984 and 130183002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72372 + ... + 74148.

It is an arithmetic number, because the mean of its divisors is an integer number (3074162).

Almost surely, 2130183020 is an apocalyptic number.

130183020 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 130183020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221339664).

130183020 is an abundant number, since it is smaller than the sum of its proper divisors (312496308).

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

130183020 is a wasteful number, since it uses less digits than its factorization.

130183020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130183020 is about 11409.7773860843. Note that the first 3 decimals coincide. The cubic root of 130183020 is about 506.8173191971.

The spelling of 130183020 in words is "one hundred thirty million, one hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1777 1980 2035 2220 2442 3330 3554 3663 4070 4884 5331 6105 6660 7108 7326 8140 8885 10662 12210 14652 15993 17770 18315 19547 21324 24420 26655 31986 35540 36630 39094 53310 58641 63972 65749 73260 78188 79965 97735 106620 117282 131498 159930 175923 195470 197247 234564 262996 293205 319860 328745 351846 390940 394494 586410 591741 657490 703692 723239 788988 879615 986235 1172820 1183482 1314980 1446478 1759230 1972470 2169717 2366964 2892956 2958705 3518460 3616195 3944940 4339434 5917410 6509151 7232390 8678868 10848585 11834820 13018302 14464780 21697170 26036604 32545755 43394340 65091510 130183020