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10691296 = 257114339
BaseRepresentation
bin101000110010…
…001011100000
3202010011200221
4220302023200
510214110141
61021052424
7156605650
oct50621340
922104627
1010691296
116042590
1236b7114
1322a4415
1415c4360
15e12bd1
hexa322e0

10691296 has 48 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 4164480.

The previous prime is 10691293. The next prime is 10691321. The reversal of 10691296 is 69219601.

10691296 = T488 + T489 + ... + T564.

It is a super-2 number, since 2×106912962 = 228607620319232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10691293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 4633.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 210691296 is an apocalyptic number.

10691296 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 10691296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10691296 is an abundant number, since it is smaller than the sum of its proper divisors (15557024).

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

10691296 is a wasteful number, since it uses less digits than its factorization.

10691296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4359 counting only the distinct ones).

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

The square root of 10691296 is about 3269.7547308629. The cubic root of 10691296 is about 220.2977785814.

The spelling of 10691296 in words is "ten million, six hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4339 8678 17356 30373 34712 47729 60746 69424 95458 121492 138848 190916 242984 334103 381832 485968 668206 763664 971936 1336412 1527328 2672824 5345648 10691296