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10536930 = 232547253
BaseRepresentation
bin101000001100…
…011111100010
3201211022221200
4220030133202
510144140210
61013502030
7155363625
oct50143742
921738850
1010536930
115a47608
123641916
13224c091
141583dbc
15dd20c0
hexa0c7e2

10536930 has 72 divisors (see below), whose sum is σ = 28519452. Its totient is φ = 2698176.

The previous prime is 10536919. The next prime is 10536943. The reversal of 10536930 is 3963501.

It can be written as a sum of positive squares in 2 ways, for example, as 10517049 + 19881 = 3243^2 + 141^2 .

It is a super-2 number, since 2×105369302 = 222053787649800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10536894 and 10536903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198784 + ... + 198836.

Almost surely, 210536930 is an apocalyptic number.

10536930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259726).

10536930 is an abundant number, since it is smaller than the sum of its proper divisors (17982522).

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

10536930 is a wasteful number, since it uses less digits than its factorization.

10536930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10536930 is about 3246.0637701684. The cubic root of 10536930 is about 219.2323798447.

The spelling of 10536930 in words is "ten million, five hundred thirty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 53 90 94 106 141 159 235 265 282 318 423 470 477 530 705 795 846 954 1410 1590 2115 2209 2385 2491 4230 4418 4770 4982 6627 7473 11045 12455 13254 14946 19881 22090 22419 24910 33135 37365 39762 44838 66270 74730 99405 112095 117077 198810 224190 234154 351231 585385 702462 1053693 1170770 1756155 2107386 3512310 5268465 10536930