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10672332 = 22311233347
BaseRepresentation
bin101000101101…
…100011001100
3202002012200120
4220231203030
510213003312
61020424540
7156466446
oct50554314
922065616
1010672332
11602a310
1236a8150
1322988b8
1415bb496
15e0c28c
hexa2d8cc

10672332 has 48 divisors (see below), whose sum is σ = 27361152. Its totient is φ = 3210880.

The previous prime is 10672331. The next prime is 10672369. The reversal of 10672332 is 23327601.

It is a super-2 number, since 2×106723322 = 227797340636448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10672331) 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 15 ways as a sum of consecutive naturals, for example, 30583 + ... + 30929.

It is an arithmetic number, because the mean of its divisors is an integer number (570024).

Almost surely, 210672332 is an apocalyptic number.

10672332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10672332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680576).

10672332 is an abundant number, since it is smaller than the sum of its proper divisors (16688820).

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

10672332 is a wasteful number, since it uses less digits than its factorization.

10672332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 10672332 is about 3266.8535320703. The cubic root of 10672332 is about 220.1674482756.

Adding to 10672332 its reverse (23327601), we get a palindrome (33999933).

The spelling of 10672332 in words is "ten million, six hundred seventy-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 347 466 694 699 932 1041 1388 1398 2082 2563 2796 3817 4164 5126 7634 7689 10252 11451 15268 15378 22902 30756 45804 80851 161702 242553 323404 485106 889361 970212 1778722 2668083 3557444 5336166 10672332