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30205620 = 22325167809
BaseRepresentation
bin111001100111…
…0011010110100
32002211121022200
41303032122310
530213034440
62555224500
7514513014
oct163163264
962747280
1030205620
1116060a25
12a148130
136347763
144023c44
1529b9c30
hex1cce6b4

30205620 has 36 divisors (see below), whose sum is σ = 91624260. Its totient is φ = 8054784.

The previous prime is 30205619. The next prime is 30205639. The reversal of 30205620 is 2650203.

It can be written as a sum of positive squares in 2 ways, for example, as 13264164 + 16941456 = 3642^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 30205593 and 30205602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83725 + ... + 84084.

Almost surely, 230205620 is an apocalyptic number.

30205620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30205620 is an abundant number, since it is smaller than the sum of its proper divisors (61418640).

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

30205620 is a wasteful number, since it uses less digits than its factorization.

30205620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167824 (or 167819 counting only the distinct ones).

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

The square root of 30205620 is about 5495.9639736811. The cubic root of 30205620 is about 311.4315339136.

Adding to 30205620 its reverse (2650203), we get a palindrome (32855823).

The spelling of 30205620 in words is "thirty million, two hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 167809 335618 503427 671236 839045 1006854 1510281 1678090 2013708 2517135 3020562 3356180 5034270 6041124 7551405 10068540 15102810 30205620