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10641648 = 243733037
BaseRepresentation
bin101000100110…
…000011110000
3202000122121010
4220212003300
510211013043
61020030520
7156311133
oct50460360
922018533
1010641648
116009256
123692440
132287944
1415b021a
15e03133
hexa260f0

10641648 has 40 divisors (see below), whose sum is σ = 27876688. Its totient is φ = 3497472.

The previous prime is 10641629. The next prime is 10641661. The reversal of 10641648 is 84614601.

It is a super-2 number, since 2×106416482 = 226489344311808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1986 + ... + 5022.

Almost surely, 210641648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10641648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938344).

10641648 is an abundant number, since it is smaller than the sum of its proper divisors (17235040).

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

10641648 is a wasteful number, since it uses less digits than its factorization.

10641648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10641648 is about 3262.1538896870. The cubic root of 10641648 is about 219.9562447417.

The spelling of 10641648 in words is "ten million, six hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3037 3504 6074 9111 12148 18222 24296 36444 48592 72888 145776 221701 443402 665103 886804 1330206 1773608 2660412 3547216 5320824 10641648