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130030320 = 24357211057
BaseRepresentation
bin1111100000000…
…01101011110000
3100001200020001210
413300001223300
5231241432240
620523000120
73136145100
oct760015360
9301606053
10130030320
1167442782
1237669040
1320c29524
14133ab200
15b637780
hex7c01af0

130030320 has 120 divisors (see below), whose sum is σ = 468947664. Its totient is φ = 29718528.

The previous prime is 130030289. The next prime is 130030379. The reversal of 130030320 is 23030031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130030296 and 130030305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6232 + ... + 17288.

Almost surely, 2130030320 is an apocalyptic number.

130030320 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 130030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234473832).

130030320 is an abundant number, since it is smaller than the sum of its proper divisors (338917344).

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

130030320 is a wasteful number, since it uses less digits than its factorization.

130030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11087 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 130030320 is about 11403.0837934306. The cubic root of 130030320 is about 506.6190821732.

Adding to 130030320 its reverse (23030031), we get a palindrome (153060351).

The spelling of 130030320 in words is "one hundred thirty million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11057 11760 22114 33171 44228 55285 66342 77399 88456 110570 132684 154798 165855 176912 221140 232197 265368 309596 331710 386995 442280 464394 530736 541793 619192 663420 773990 884560 928788 1083586 1160985 1238384 1326840 1547980 1625379 1857576 2167172 2321970 2653680 2708965 3095960 3250758 3715152 4334344 4643940 5417930 6191920 6501516 8126895 8668688 9287880 10835860 13003032 16253790 18575760 21671720 26006064 32507580 43343440 65015160 130030320