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30265216 = 27417379
BaseRepresentation
bin111001101110…
…0111110000000
32002221122001221
41303130332000
530221441331
63000404424
7515151532
oct163347600
962848057
1030265216
11160a1783
12a176714
136368917
14403b852
1529cc711
hex1cdcf80

30265216 has 64 divisors (see below), whose sum is σ = 63403200. Its totient is φ = 14376960.

The previous prime is 30265201. The next prime is 30265231. The reversal of 30265216 is 61256203.

It is an interprime number because it is at equal distance from previous prime (30265201) and next prime (30265231).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383065 + ... + 383143.

It is an arithmetic number, because the mean of its divisors is an integer number (990675).

Almost surely, 230265216 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 30265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701600).

30265216 is an abundant number, since it is smaller than the sum of its proper divisors (33137984).

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

30265216 is an equidigital number, since it uses as much as digits as its factorization.

30265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 30265216 is about 5501.3830988216. The cubic root of 30265216 is about 311.6362185677.

The spelling of 30265216 in words is "thirty million, two hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 73 79 82 128 146 158 164 292 316 328 584 632 656 1168 1264 1312 2336 2528 2624 2993 3239 4672 5056 5248 5767 5986 6478 9344 10112 11534 11972 12956 23068 23944 25912 46136 47888 51824 92272 95776 103648 184544 191552 207296 236447 369088 383104 414592 472894 738176 945788 1891576 3783152 7566304 15132608 30265216