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30006032 = 247238273
BaseRepresentation
bin111001001110…
…1101100010000
32002110110112112
41302131230100
530140143112
62551044452
7513022100
oct162355420
962413475
1030006032
1115a34a81
12a070728
1362a7964
143db1200
15297aa22
hex1c9db10

30006032 has 30 divisors (see below), whose sum is σ = 67630158. Its totient is φ = 12859392.

The previous prime is 30006019. The next prime is 30006049. The reversal of 30006032 is 23060003.

It can be written as a sum of positive squares in only one way, i.e., 29203216 + 802816 = 5404^2 + 896^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 30005998 and 30006016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18353 + ... + 19920.

Almost surely, 230006032 is an apocalyptic number.

It is an amenable number.

30006032 is an abundant number, since it is smaller than the sum of its proper divisors (37624126).

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

30006032 is a wasteful number, since it uses less digits than its factorization.

30006032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38295 (or 38282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 30006032 is about 5477.7761911199. The cubic root of 30006032 is about 310.7440745625.

Adding to 30006032 its reverse (23060003), we get a palindrome (53066035).

The spelling of 30006032 in words is "thirty million, six thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 38273 76546 153092 267911 306184 535822 612368 1071644 1875377 2143288 3750754 4286576 7501508 15003016 30006032