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2150759216 = 241738920327
BaseRepresentation
bin1000000000110001…
…1111101100110000
312112220000212222202
42000030133230300
513401043243331
6553230122332
7104204103014
oct20014375460
95486025882
102150759216
11a04058261
125003503a8
132837809b8
14165900544
15c8c41ecb
hex8031fb30

2150759216 has 40 divisors (see below), whose sum is σ = 4423779360. Its totient is φ = 1009470464.

The previous prime is 2150759213. The next prime is 2150759227. The reversal of 2150759216 is 6129570512.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2150759216.

It is not an unprimeable number, because it can be changed into a prime (2150759213) by changing a digit.

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, 95645 + ... + 115971.

It is an arithmetic number, because the mean of its divisors is an integer number (110594484).

Almost surely, 22150759216 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 2150759216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211889680).

2150759216 is an abundant number, since it is smaller than the sum of its proper divisors (2273020144).

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

2150759216 is a wasteful number, since it uses less digits than its factorization.

2150759216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20741 (or 20735 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 2150759216 is about 46376.2785915386. The cubic root of 2150759216 is about 1290.8147840215.

The spelling of 2150759216 in words is "two billion, one hundred fifty million, seven hundred fifty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 389 778 1556 3112 6224 6613 13226 20327 26452 40654 52904 81308 105808 162616 325232 345559 691118 1382236 2764472 5528944 7907203 15814406 31628812 63257624 126515248 134422451 268844902 537689804 1075379608 2150759216