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10921392 = 2435532
BaseRepresentation
bin101001101010…
…010110110000
3202112212100000
4221222112300
510243441032
61030030000
7161554536
oct51522660
922485300
1010921392
11618a449
1237a8300
132355081
141644156
15e5ae7c
hexa6a5b0

10921392 has 90 divisors (see below), whose sum is σ = 32306092. Its totient is φ = 3571776.

The previous prime is 10921373. The next prime is 10921403. The reversal of 10921392 is 29312901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 206038 + ... + 206090.

Almost surely, 210921392 is an apocalyptic number.

10921392 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 10921392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153046).

10921392 is an abundant number, since it is smaller than the sum of its proper divisors (21384700).

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

10921392 is an frugal number, since it uses more digits than its factorization.

10921392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10921392 is about 3304.7529408414. The cubic root of 10921392 is about 221.8669765531.

Multiplying 10921392 by its sum of digits (27), we get a square (294877584 = 171722).

10921392 divided by its sum of digits (27) gives a square (404496 = 6362).

Multiplying 10921392 by its product of nonzero digits (972), we get a square (10615593024 = 1030322).

10921392 divided by its product of nonzero digits (972) gives a square (11236 = 1062).

The spelling of 10921392 in words is "ten million, nine hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 848 954 972 1272 1296 1431 1908 1944 2544 2809 2862 3816 3888 4293 5618 5724 7632 8427 8586 11236 11448 12879 16854 17172 22472 22896 25281 25758 33708 34344 44944 50562 51516 67416 68688 75843 101124 103032 134832 151686 202248 206064 227529 303372 404496 455058 606744 682587 910116 1213488 1365174 1820232 2730348 3640464 5460696 10921392