Search a number
-
+
30115620 = 22325167309
BaseRepresentation
bin111001011100…
…0011100100100
32002200000212100
41302320130210
530202144440
62553252100
7513656433
oct162703444
962600770
1030115620
1115aaa347
12a104030
1363157c2
143ddd11a
15299d230
hex1cb8724

30115620 has 36 divisors (see below), whose sum is σ = 91351260. Its totient is φ = 8030784.

The previous prime is 30115597. The next prime is 30115621. The reversal of 30115620 is 2651103.

30115620 is a `hidden beast` number, since 30 + 1 + 15 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 10614564 = 4416^2 + 3258^2 .

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 = 30115593 and 30115602.

It is not an unprimeable number, because it can be changed into a prime (30115621) 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, 83475 + ... + 83834.

It is an arithmetic number, because the mean of its divisors is an integer number (2537535).

Almost surely, 230115620 is an apocalyptic number.

30115620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30115620 is an abundant number, since it is smaller than the sum of its proper divisors (61235640).

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

30115620 is a wasteful number, since it uses less digits than its factorization.

30115620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167324 (or 167319 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 30115620 is about 5487.7700389138. The cubic root of 30115620 is about 311.1219146853.

Adding to 30115620 its reverse (2651103), we get a palindrome (32766723).

The spelling of 30115620 in words is "thirty million, one hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 167309 334618 501927 669236 836545 1003854 1505781 1673090 2007708 2509635 3011562 3346180 5019270 6023124 7528905 10038540 15057810 30115620