Search a number
-
+
10649216 = 27271307
BaseRepresentation
bin101000100111…
…111010000000
3202001000222102
4220213322000
510211233331
61020125532
7156342164
oct50477200
922030872
1010649216
116013a06
1236968a8
13228b216
1415b2ca4
15e054cb
hexa27e80

10649216 has 32 divisors (see below), whose sum is σ = 21362880. Its totient is φ = 5287680.

The previous prime is 10649203. The next prime is 10649227. The reversal of 10649216 is 61294601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×106492163 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34535 + ... + 34841.

It is an arithmetic number, because the mean of its divisors is an integer number (667590).

Almost surely, 210649216 is an apocalyptic number.

10649216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10649216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10649216 is an equidigital number, since it uses as much as digits as its factorization.

10649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10649216 is about 3263.3136533285. The cubic root of 10649216 is about 220.0083743369.

The spelling of 10649216 in words is "ten million, six hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 271 307 542 614 1084 1228 2168 2456 4336 4912 8672 9824 17344 19648 34688 39296 83197 166394 332788 665576 1331152 2662304 5324608 10649216