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130288860 = 223251324283
BaseRepresentation
bin1111100010000…
…00110011011100
3100002011100201100
413301000303130
5231323220420
620532313100
73141302622
oct761006334
9302140640
10130288860
11675a9a49
1237772790
1320cba100
1413437512
15b689190
hex7c40cdc

130288860 has 108 divisors (see below), whose sum is σ = 428048712. Its totient is φ = 32063616.

The previous prime is 130288849. The next prime is 130288861. The reversal of 130288860 is 68882031.

It is a super-3 number, since 3×1302888603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130288861) 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 35 ways as a sum of consecutive naturals, for example, 28279 + ... + 32561.

It is an arithmetic number, because the mean of its divisors is an integer number (3963414).

Almost surely, 2130288860 is an apocalyptic number.

130288860 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 130288860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214024356).

130288860 is an abundant number, since it is smaller than the sum of its proper divisors (297759852).

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

130288860 is a wasteful number, since it uses less digits than its factorization.

130288860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 130288860 is about 11414.4145710588. The cubic root of 130288860 is about 506.9546310488.

The spelling of 130288860 in words is "one hundred thirty million, two hundred eighty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 4283 5070 6084 7605 8566 10140 12849 15210 17132 21415 25698 30420 38547 42830 51396 55679 64245 77094 85660 111358 128490 154188 167037 192735 222716 256980 278395 334074 385470 501111 556790 668148 723827 770940 835185 1002222 1113580 1447654 1670370 2004444 2171481 2505555 2895308 3340740 3619135 4342962 5011110 6514443 7238270 8685924 10022220 10857405 13028886 14476540 21714810 26057772 32572215 43429620 65144430 130288860