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10505088 = 273211829
BaseRepresentation
bin101000000100…
…101110000000
3201202201021100
4220010232000
510142130323
61013054400
7155202036
oct50045600
921681240
1010505088
115a256a0
123627400
13223a739
141576556
15dc7943
hexa04b80

10505088 has 96 divisors (see below), whose sum is σ = 33017400. Its totient is φ = 3179520.

The previous prime is 10505083. The next prime is 10505101. The reversal of 10505088 is 88050501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105050882 = 220713747775488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12258 + ... + 13086.

Almost surely, 210505088 is an apocalyptic number.

10505088 is a gapful number since it is divisible by the number (18) 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 10505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508700).

10505088 is an abundant number, since it is smaller than the sum of its proper divisors (22512312).

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

10505088 is a wasteful number, since it uses less digits than its factorization.

10505088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 10505088 is about 3241.1553495629. The cubic root of 10505088 is about 219.0113211136.

Adding to 10505088 its reverse (88050501), we get a palindrome (98555589).

The spelling of 10505088 in words is "ten million, five hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 829 1056 1152 1408 1584 1658 2112 2487 3168 3316 4224 4974 6336 6632 7461 9119 9948 12672 13264 14922 18238 19896 26528 27357 29844 36476 39792 53056 54714 59688 72952 79584 82071 106112 109428 119376 145904 159168 164142 218856 238752 291808 318336 328284 437712 477504 583616 656568 875424 955008 1167232 1313136 1750848 2626272 3501696 5252544 10505088