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10756233 = 3437297
BaseRepresentation
bin101001000010…
…000010001001
3202020110210000
4221002002021
510223144413
61022313213
7160266165
oct51020211
922213700
1010756233
116087354
123728809
1322c7b47
1415ddca5
15e27073
hexa42089

10756233 has 30 divisors (see below), whose sum is σ = 16684206. Its totient is φ = 6905088.

The previous prime is 10756217. The next prime is 10756241. The reversal of 10756233 is 33265701.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5774409 + 4981824 = 2403^2 + 2232^2 .

It is not a de Polignac number, because 10756233 - 24 = 10756217 is a prime.

It is a super-3 number, since 3×107562333 (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10756197 and 10756206.

It is not an unprimeable number, because it can be changed into a prime (10756283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 110841 + ... + 110937.

Almost surely, 210756233 is an apocalyptic number.

It is an amenable number.

10756233 is a deficient number, since it is larger than the sum of its proper divisors (5927973).

10756233 is an frugal number, since it uses more digits than its factorization.

10756233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 10756233 is about 3279.6696479981. The cubic root of 10756233 is about 220.7428949086.

The spelling of 10756233 in words is "ten million, seven hundred fifty-six thousand, two hundred thirty-three".

Divisors: 1 3 9 27 37 81 97 111 291 333 873 999 1369 2619 2997 3589 4107 7857 10767 12321 32301 36963 96903 110889 132793 290709 398379 1195137 3585411 10756233