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10820992 = 27713929
BaseRepresentation
bin101001010001…
…110110000000
3202100202121111
4221101312000
510232232432
61023533104
7160656040
oct51216600
922322544
1010820992
116120a76
12375a194
13231b470
141619720
15e3b347
hexa51d80

10820992 has 64 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 4276224.

The previous prime is 10820981. The next prime is 10821001. The reversal of 10820992 is 29902801.

It is a tau number, because it is divible by the number of its divisors (64).

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, 11184 + ... + 12112.

Almost surely, 210820992 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 10820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

10820992 is an abundant number, since it is smaller than the sum of its proper divisors (15739808).

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

10820992 is an equidigital number, since it uses as much as digits as its factorization.

10820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 10820992 is about 3289.5276256630. The cubic root of 10820992 is about 221.1850105438.

The spelling of 10820992 in words is "ten million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 929 1456 1664 1858 2912 3716 5824 6503 7432 11648 12077 13006 14864 24154 26012 29728 48308 52024 59456 84539 96616 104048 118912 169078 193232 208096 338156 386464 416192 676312 772928 832384 1352624 1545856 2705248 5410496 10820992