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30013152 = 2531324049
BaseRepresentation
bin111001001111…
…1011011100000
32002110211022020
41302133123200
530140410102
62551141440
7513051621
oct162373340
962424266
1030013152
1115a3a364
12a074880
1362aac80
143db3a48
15297cbbc
hex1c9f6e0

30013152 has 48 divisors (see below), whose sum is σ = 84848400. Its totient is φ = 9234432.

The previous prime is 30013133. The next prime is 30013153. The reversal of 30013152 is 25131003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10777 + ... + 13272.

It is an arithmetic number, because the mean of its divisors is an integer number (1767675).

Almost surely, 230013152 is an apocalyptic number.

30013152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30013152 is an abundant number, since it is smaller than the sum of its proper divisors (54835248).

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

30013152 is a wasteful number, since it uses less digits than its factorization.

30013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24075 (or 24067 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 30013152 is about 5478.4260513399. The cubic root of 30013152 is about 310.7686509859.

Adding to 30013152 its reverse (25131003), we get a palindrome (55144155).

The spelling of 30013152 in words is "thirty million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 24049 48098 72147 96196 144294 192392 288588 312637 384784 577176 625274 769568 937911 1154352 1250548 1875822 2308704 2501096 3751644 5002192 7503288 10004384 15006576 30013152