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130433880 = 233529371013
BaseRepresentation
bin1111100011001…
…00001101011000
3100002102201122110
413301210031120
5231342341010
620535352320
73142445463
oct761441530
9302381573
10130433880
11676989a5
12378226a0
132103b115
14134742da
15b6b7120
hex7c64358

130433880 has 128 divisors (see below), whose sum is σ = 416145600. Its totient is φ = 32643072.

The previous prime is 130433867. The next prime is 130433881. The reversal of 130433880 is 88334031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130433881) 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 31 ways as a sum of consecutive naturals, for example, 128254 + ... + 129266.

Almost surely, 2130433880 is an apocalyptic number.

130433880 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 130433880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208072800).

130433880 is an abundant number, since it is smaller than the sum of its proper divisors (285711720).

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

130433880 is a wasteful number, since it uses less digits than its factorization.

130433880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 130433880 is about 11420.7652983502. The cubic root of 130433880 is about 507.1426524971.

The spelling of 130433880 in words is "one hundred thirty million, four hundred thirty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 435 444 555 580 696 740 870 888 1013 1073 1110 1160 1480 1740 2026 2146 2220 3039 3219 3480 4052 4292 4440 5065 5365 6078 6438 8104 8584 10130 10730 12156 12876 15195 16095 20260 21460 24312 25752 29377 30390 32190 37481 40520 42920 58754 60780 64380 74962 88131 112443 117508 121560 128760 146885 149924 176262 187405 224886 235016 293770 299848 352524 374810 440655 449772 562215 587540 705048 749620 881310 899544 1086949 1124430 1175080 1499240 1762620 2173898 2248860 3260847 3525240 4347796 4497720 5434745 6521694 8695592 10869490 13043388 16304235 21738980 26086776 32608470 43477960 65216940 130433880