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10920896 = 267191283
BaseRepresentation
bin101001101010…
…001111000000
3202112211122122
4221222033000
510243432041
61030023412
7161553230
oct51521700
922484578
1010920896
11618a038
1237a7b68
132354a8c
141643cc0
15e5ac4b
hexa6a3c0

10920896 has 56 divisors (see below), whose sum is σ = 26090880. Its totient is φ = 4430592.

The previous prime is 10920887. The next prime is 10920901. The reversal of 10920896 is 69802901.

It is a tau number, because it is divible by the number of its divisors (56).

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, 7871 + ... + 9153.

Almost surely, 210920896 is an apocalyptic number.

10920896 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 10920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045440).

10920896 is an abundant number, since it is smaller than the sum of its proper divisors (15169984).

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

10920896 is a wasteful number, since it uses less digits than its factorization.

10920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 10920896 is about 3304.6778965582. The cubic root of 10920896 is about 221.8636177722.

The spelling of 10920896 in words is "ten million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 1283 2128 2566 4256 5132 8512 8981 10264 17962 20528 24377 35924 41056 48754 71848 82112 97508 143696 170639 195016 287392 341278 390032 574784 682556 780064 1365112 1560128 2730224 5460448 10920896