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30130416 = 2432892351
BaseRepresentation
bin111001011110…
…0000011110000
32002200210011100
41302330003300
530203133131
62553444400
7514050531
oct162740360
962623140
1030130416
111600a478
12a110700
13631c464
144004688
1529a27e6
hex1cbc0f0

30130416 has 60 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 9926400.

The previous prime is 30130403. The next prime is 30130417. The reversal of 30130416 is 61403103.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30130417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11641 + ... + 13991.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 230130416 is an apocalyptic number.

30130416 is a gapful number since it is divisible by the number (36) 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 30130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

30130416 is an abundant number, since it is smaller than the sum of its proper divisors (55176624).

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

30130416 is a wasteful number, since it uses less digits than its factorization.

30130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2445 counting only the distinct ones).

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

The square root of 30130416 is about 5489.1179619316. The cubic root of 30130416 is about 311.1728584167.

Adding to 30130416 its reverse (61403103), we get a palindrome (91533519).

The spelling of 30130416 in words is "thirty million, one hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 2351 3204 4272 4702 6408 7053 9404 12816 14106 18808 21159 28212 37616 42318 56424 84636 112848 169272 209239 338544 418478 627717 836956 1255434 1673912 1883151 2510868 3347824 3766302 5021736 7532604 10043472 15065208 30130416