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30213540 = 2233577993
BaseRepresentation
bin111001101000…
…0010110100100
32002212000012000
41303100112210
530213313130
62555325300
7514545060
oct163202644
962760160
1030213540
1116066975
12a150830
13634b246
144026aa0
1529bc260
hex1cd05a4

30213540 has 96 divisors (see below), whose sum is σ = 107439360. Its totient is φ = 6905088.

The previous prime is 30213529. The next prime is 30213541. The reversal of 30213540 is 4531203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30213541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217 + ... + 7776.

It is an arithmetic number, because the mean of its divisors is an integer number (1119160).

Almost surely, 230213540 is an apocalyptic number.

30213540 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 30213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53719680).

30213540 is an abundant number, since it is smaller than the sum of its proper divisors (77225820).

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

30213540 is a wasteful number, since it uses less digits than its factorization.

30213540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30213540 is about 5496.6844551966. The cubic root of 30213540 is about 311.4587509480.

Adding to 30213540 its reverse (4531203), we get a palindrome (34744743).

It can be divided in two parts, 3021 and 3540, that added together give a 8-th power (6561 = 38).

The spelling of 30213540 in words is "thirty million, two hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 7993 15986 23979 31972 39965 47958 55951 71937 79930 95916 111902 119895 143874 159860 167853 215811 223804 239790 279755 287748 335706 359685 431622 479580 503559 559510 671412 719370 839265 863244 1007118 1079055 1119020 1438740 1510677 1678530 2014236 2158110 2517795 3021354 3357060 4316220 5035590 6042708 7553385 10071180 15106770 30213540