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128412216 = 2334533739
BaseRepresentation
bin1111010011101…
…10101000111000
322221122000110000
413221312220320
5230333142331
620424153000
73116325432
oct751665070
9287560400
10128412216
1166537aa9
1237008760
13207b0b7a
14130a9652
15b4180e6
hex7a76a38

128412216 has 80 divisors (see below), whose sum is σ = 366557400. Its totient is φ = 41985216.

The previous prime is 128412173. The next prime is 128412217. The reversal of 128412216 is 612214821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 128412216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128412217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32475 + ... + 36213.

Almost surely, 2128412216 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 128412216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183278700).

128412216 is an abundant number, since it is smaller than the sum of its proper divisors (238145184).

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

128412216 is a wasteful number, since it uses less digits than its factorization.

128412216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3797 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 128412216 is about 11331.9114009950. The cubic root of 128412216 is about 504.5088398424.

The spelling of 128412216 in words is "one hundred twenty-eight million, four hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3739 3816 4293 5724 7478 8586 11217 11448 14956 17172 22434 29912 33651 34344 44868 67302 89736 100953 134604 198167 201906 269208 302859 396334 403812 594501 605718 792668 807624 1189002 1211436 1585336 1783503 2378004 2422872 3567006 4756008 5350509 7134012 10701018 14268024 16051527 21402036 32103054 42804072 64206108 128412216