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10969216 = 2717712
BaseRepresentation
bin101001110110…
…000010000000
3202122021221021
4221312002000
510302003331
61031035224
7162144136
oct51660200
922567837
1010969216
116212375
12380bb14
132370a7b
141657756
15e6a211
hexa76080

10969216 has 48 divisors (see below), whose sum is σ = 23468670. Its totient is φ = 5089280.

The previous prime is 10969207. The next prime is 10969219. The reversal of 10969216 is 61296901.

It can be written as a sum of positive squares in only one way, i.e., 8065600 + 2903616 = 2840^2 + 1704^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10969219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154461 + ... + 154531.

Almost surely, 210969216 is an apocalyptic number.

10969216 is a gapful number since it is divisible by the number (16) 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 10969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11734335).

10969216 is an abundant number, since it is smaller than the sum of its proper divisors (12499454).

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

10969216 is an frugal number, since it uses more digits than its factorization.

10969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 10969216 is about 3311.9806762721. The cubic root of 10969216 is about 222.1903515775.

Multiplying 10969216 by its sum of digits (34), we get a square (372953344 = 193122).

10969216 divided by its sum of digits (34) gives a square (322624 = 5682).

The spelling of 10969216 in words is "ten million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 272 284 544 568 1088 1136 1207 2176 2272 2414 4544 4828 5041 9088 9656 10082 19312 20164 38624 40328 77248 80656 85697 154496 161312 171394 322624 342788 645248 685576 1371152 2742304 5484608 10969216