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30283020 = 22325374547
BaseRepresentation
bin111001110000…
…1010100001100
32002222112111100
41303201110030
530223024040
63001023100
7515254455
oct163412414
962875440
1030283020
1116104099
12a184a90
136373a61
14404412c
1529d2b30
hex1ce150c

30283020 has 72 divisors (see below), whose sum is σ = 94361904. Its totient is φ = 7855488.

The previous prime is 30283013. The next prime is 30283031. The reversal of 30283020 is 2038203.

It is a super-2 number, since 2×302830202 = 1834122600640800, which contains 22 as substring.

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 = 30282984 and 30283002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4387 + ... + 8933.

It is an arithmetic number, because the mean of its divisors is an integer number (1310582).

Almost surely, 230283020 is an apocalyptic number.

30283020 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 30283020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47180952).

30283020 is an abundant number, since it is smaller than the sum of its proper divisors (64078884).

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

30283020 is a wasteful number, since it uses less digits than its factorization.

30283020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30283020 is about 5503.0009994548. Note that the first 3 decimals coincide. The cubic root of 30283020 is about 311.6973149280.

The spelling of 30283020 in words is "thirty million, two hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 4547 6660 9094 13641 18188 22735 27282 40923 45470 54564 68205 81846 90940 136410 163692 168239 204615 272820 336478 409230 504717 672956 818460 841195 1009434 1514151 1682390 2018868 2523585 3028302 3364780 5047170 6056604 7570755 10094340 15141510 30283020