Search a number
-
+
30136320 = 211335109
BaseRepresentation
bin111001011110…
…1100000000000
32002201002021000
41302331200000
530203330240
62553532000
7514103664
oct162754000
962632230
1030136320
1116013955
12a114000
136322056
1440068a4
1529a4430
hex1cbd800

30136320 has 192 divisors, whose sum is σ = 108108000. Its totient is φ = 7962624.

The previous prime is 30136313. The next prime is 30136343. The reversal of 30136320 is 2363103.

It is a happy number.

30136320 is a `hidden beast` number, since 30 + 1 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 30136293 and 30136302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276426 + ... + 276534.

Almost surely, 230136320 is an apocalyptic number.

30136320 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 30136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054000).

30136320 is an abundant number, since it is smaller than the sum of its proper divisors (77971680).

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

30136320 is a wasteful number, since it uses less digits than its factorization.

30136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30136320 is about 5489.6557269104. The cubic root of 30136320 is about 311.1931816738.

Adding to 30136320 its reverse (2363103), we get a palindrome (32499423).

The spelling of 30136320 in words is "thirty million, one hundred thirty-six thousand, three hundred twenty".