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30166416 = 2432729927
BaseRepresentation
bin111001100010…
…0110110010000
32002202121112200
41303010312100
530210311131
62554323200
7514260510
oct163046620
962677480
1030166416
1116034525
12a129500
136332967
144013840
1529ad2e6
hex1cc4d90

30166416 has 60 divisors (see below), whose sum is σ = 96487872. Its totient is φ = 8618688.

The previous prime is 30166393. The next prime is 30166417. The reversal of 30166416 is 61466103.

30166416 is a `hidden beast` number, since 3 + 0 + 16 + 641 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30166416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30166417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13956 + ... + 15971.

Almost surely, 230166416 is an apocalyptic number.

30166416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30166416 is an abundant number, since it is smaller than the sum of its proper divisors (66321456).

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

30166416 is a wasteful number, since it uses less digits than its factorization.

30166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29948 (or 29939 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30166416 is about 5492.3961983819. The cubic root of 30166416 is about 311.2967394850.

The spelling of 30166416 in words is "thirty million, one hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 29927 59854 89781 119708 179562 209489 239416 269343 359124 418978 478832 538686 628467 718248 837956 1077372 1256934 1436496 1675912 1885401 2154744 2513868 3351824 3770802 4309488 5027736 7541604 10055472 15083208 30166416