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30132480 = 283571959
BaseRepresentation
bin111001011110…
…0100100000000
32002200212222210
41302330210000
530203214410
62553502120
7514056540
oct162744400
962625883
1030132480
1116010a84
12a111940
136320391
144005320
1529a3220
hex1cbc900

30132480 has 288 divisors, whose sum is σ = 117734400. Its totient is φ = 6414336.

The previous prime is 30132469. The next prime is 30132481. The reversal of 30132480 is 8423103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510691 + ... + 510749.

It is an arithmetic number, because the mean of its divisors is an integer number (408800).

Almost surely, 230132480 is an apocalyptic number.

30132480 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 30132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

30132480 is an abundant number, since it is smaller than the sum of its proper divisors (87601920).

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

30132480 is a wasteful number, since it uses less digits than its factorization.

30132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30132480 is about 5489.3059670600. The cubic root of 30132480 is about 311.1799635970.

Adding to 30132480 its reverse (8423103), we get a palindrome (38555583).

The spelling of 30132480 in words is "thirty million, one hundred thirty-two thousand, four hundred eighty".