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30049020 = 223251391201
BaseRepresentation
bin111001010100…
…0001011111100
32002112122111200
41302220023330
530143032040
62552015500
7513261321
oct162501374
962478450
1030049020
1115a64301
12a091590
1362c13b1
143dc2b48
152988630
hex1ca82fc

30049020 has 72 divisors (see below), whose sum is σ = 91880880. Its totient is φ = 7948800.

The previous prime is 30049009. The next prime is 30049021. The reversal of 30049020 is 2094003.

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 = 30048984 and 30049002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30049021) by changing a digit.

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, 24420 + ... + 25620.

Almost surely, 230049020 is an apocalyptic number.

30049020 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 30049020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45940440).

30049020 is an abundant number, since it is smaller than the sum of its proper divisors (61831860).

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

30049020 is a wasteful number, since it uses less digits than its factorization.

30049020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30049020 is about 5481.6986418445. The cubic root of 30049020 is about 310.8923990964.

The spelling of 30049020 in words is "thirty million, forty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1201 1251 1390 1668 2085 2402 2502 2780 3603 4170 4804 5004 6005 6255 7206 8340 10809 12010 12510 14412 18015 21618 24020 25020 36030 43236 54045 72060 108090 166939 216180 333878 500817 667756 834695 1001634 1502451 1669390 2003268 2504085 3004902 3338780 5008170 6009804 7512255 10016340 15024510 30049020