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10247664 = 243724357
BaseRepresentation
bin100111000101…
…110111110000
3201021122011010
4213011313300
510110411124
61003350520
7153050400
oct47056760
921248133
1010247664
11586a249
123522440
13217a50b
14150a800
15d76529
hex9c5df0

10247664 has 60 divisors (see below), whose sum is σ = 30802344. Its totient is φ = 2927232.

The previous prime is 10247641. The next prime is 10247683. The reversal of 10247664 is 46674201.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 174 + ... + 4530.

Almost surely, 210247664 is an apocalyptic number.

10247664 is a gapful number since it is divisible by the number (14) 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 10247664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401172).

10247664 is an abundant number, since it is smaller than the sum of its proper divisors (20554680).

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

10247664 is a wasteful number, since it uses less digits than its factorization.

10247664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 10247664 is about 3201.1972760203. The cubic root of 10247664 is about 217.2075710692.

The spelling of 10247664 in words is "ten million, two hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 4357 8714 13071 17428 26142 30499 34856 52284 60998 69712 91497 104568 121996 182994 209136 213493 243992 365988 426986 487984 640479 731976 853972 1280958 1463952 1707944 2561916 3415888 5123832 10247664