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30507136 = 271147461
BaseRepresentation
bin111010001100…
…0000010000000
32010101220220221
41310120002000
530302212021
63005512424
7520210042
oct164300200
963356827
1030507136
1116247510
12a272714
136421a7a
1440a1a92
152a29241
hex1d18080

30507136 has 64 divisors (see below), whose sum is σ = 67858560. Its totient is φ = 13542400.

The previous prime is 30507121. The next prime is 30507143. The reversal of 30507136 is 63170503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×305071363 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30507136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65946 + ... + 66406.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 230507136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929280).

30507136 is an abundant number, since it is smaller than the sum of its proper divisors (37351424).

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

30507136 is a wasteful number, since it uses less digits than its factorization.

30507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 30507136 is about 5523.3265338924. The cubic root of 30507136 is about 312.4643534807.

Adding to 30507136 its reverse (63170503), we get a palindrome (93677639).

The spelling of 30507136 in words is "thirty million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 461 517 704 752 922 1034 1408 1504 1844 2068 3008 3688 4136 5071 6016 7376 8272 10142 14752 16544 20284 21667 29504 33088 40568 43334 59008 66176 81136 86668 162272 173336 238337 324544 346672 476674 649088 693344 953348 1386688 1906696 2773376 3813392 7626784 15253568 30507136