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30127320 = 23325531579
BaseRepresentation
bin111001011101…
…1010011011000
32002200121220200
41302323103120
530203033240
62553422200
7514035516
oct162732330
962617820
1030127320
1116008113
12a10a960
13631ac22
1440034b6
1529a1930
hex1cbb4d8

30127320 has 96 divisors (see below), whose sum is σ = 99824400. Its totient is φ = 7877376.

The previous prime is 30127303. The next prime is 30127337. The reversal of 30127320 is 2372103.

It is an interprime number because it is at equal distance from previous prime (30127303) and next prime (30127337).

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 = 30127293 and 30127302.

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, 18291 + ... + 19869.

Almost surely, 230127320 is an apocalyptic number.

30127320 is a gapful number since it is divisible by the number (30) 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 30127320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49912200).

30127320 is an abundant number, since it is smaller than the sum of its proper divisors (69697080).

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

30127320 is a wasteful number, since it uses less digits than its factorization.

30127320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 30127320 is about 5488.8359421648. The cubic root of 30127320 is about 311.1622000378.

Adding to 30127320 its reverse (2372103), we get a palindrome (32499423).

The spelling of 30127320 in words is "thirty million, one hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1579 1590 1908 2120 2385 3158 3180 3816 4737 4770 6316 6360 7895 9474 9540 12632 14211 15790 18948 19080 23685 28422 31580 37896 47370 56844 63160 71055 83687 94740 113688 142110 167374 189480 251061 284220 334748 418435 502122 568440 669496 753183 836870 1004244 1255305 1506366 1673740 2008488 2510610 3012732 3347480 3765915 5021220 6025464 7531830 10042440 15063660 30127320