Search a number
-
+
10987272 = 233350867
BaseRepresentation
bin101001111010…
…011100001000
3202200012201000
4221322130020
510303043042
61031255000
7162250602
oct51723410
922605630
1010987272
11622499a
12381a460
13237905a
141660172
15e7074c
hexa7a708

10987272 has 32 divisors (see below), whose sum is σ = 30520800. Its totient is φ = 3662352.

The previous prime is 10987267. The next prime is 10987279. The reversal of 10987272 is 27278901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10987279) 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 7 ways as a sum of consecutive naturals, for example, 25218 + ... + 25649.

It is an arithmetic number, because the mean of its divisors is an integer number (953775).

Almost surely, 210987272 is an apocalyptic number.

10987272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10987272 is an abundant number, since it is smaller than the sum of its proper divisors (19533528).

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

10987272 is a wasteful number, since it uses less digits than its factorization.

10987272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50882 (or 50872 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10987272 is about 3314.7054167754. The cubic root of 10987272 is about 222.3121977131.

The spelling of 10987272 in words is "ten million, nine hundred eighty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 50867 101734 152601 203468 305202 406936 457803 610404 915606 1220808 1373409 1831212 2746818 3662424 5493636 10987272