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30360420 = 223556247
BaseRepresentation
bin111001111010…
…0001101100100
32010010110200000
41303310031210
530233013140
63002421300
7516026226
oct163641544
963113600
1030360420
1116157262
12a201830
1363a005c
144064416
1529eaa30
hex1cf4364

30360420 has 72 divisors (see below), whose sum is σ = 95519424. Its totient is φ = 8094816.

The previous prime is 30360353. The next prime is 30360431. The reversal of 30360420 is 2406303.

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 = 30360393 and 30360402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1737 + ... + 7983.

Almost surely, 230360420 is an apocalyptic number.

30360420 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 30360420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47759712).

30360420 is an abundant number, since it is smaller than the sum of its proper divisors (65159004).

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

30360420 is a wasteful number, since it uses less digits than its factorization.

30360420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30360420 is about 5510.0290380360. The cubic root of 30360420 is about 311.9626434564.

Adding to 30360420 its reverse (2406303), we get a palindrome (32766723).

The spelling of 30360420 in words is "thirty million, three hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 6247 12494 18741 24988 31235 37482 56223 62470 74964 93705 112446 124940 168669 187410 224892 281115 337338 374820 506007 562230 674676 843345 1012014 1124460 1518021 1686690 2024028 2530035 3036042 3373380 5060070 6072084 7590105 10120140 15180210 30360420