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30007296 = 213321137
BaseRepresentation
bin111001001111…
…0000000000000
32002110112021100
41302132000000
530140213141
62551054400
7513025554
oct162360000
962415240
1030007296
1115a35a20
12a071400
1362a83c7
143db1864
15297b0b6
hex1c9e000

30007296 has 168 divisors, whose sum is σ = 97118424. Its totient is φ = 8847360.

The previous prime is 30007283. The next prime is 30007297. The reversal of 30007296 is 69270003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30007297) 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, 810990 + ... + 811026.

Almost surely, 230007296 is an apocalyptic number.

30007296 is a gapful number since it is divisible by the number (36) 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 30007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48559212).

30007296 is an abundant number, since it is smaller than the sum of its proper divisors (67111128).

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

30007296 is a wasteful number, since it uses less digits than its factorization.

30007296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30007296 is about 5477.8915651918. The cubic root of 30007296 is about 310.7484378518.

Adding to 30007296 its reverse (69270003), we get a palindrome (99277299).

It can be divided in two parts, 30007 and 296, that added together give a palindrome (30303).

The spelling of 30007296 in words is "thirty million, seven thousand, two hundred ninety-six".