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10985130 = 23251341229
BaseRepresentation
bin101001111001…
…111010101010
3202200002202200
4221321322222
510303011010
61031241030
7162241422
oct51717252
922602680
1010985130
116223322
123819176
1323780a0
14165d482
15e6ecc0
hexa79eaa

10985130 has 96 divisors (see below), whose sum is σ = 31646160. Its totient is φ = 2626560.

The previous prime is 10985123. The next prime is 10985131. The reversal of 10985130 is 3158901.

It can be written as a sum of positive squares in 8 ways, for example, as 2499561 + 8485569 = 1581^2 + 2913^2 .

It is a super-2 number, since 2×109851302 = 241346162233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10985094 and 10985103.

It is not an unprimeable number, because it can be changed into a prime (10985131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47856 + ... + 48084.

Almost surely, 210985130 is an apocalyptic number.

10985130 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 10985130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823080).

10985130 is an abundant number, since it is smaller than the sum of its proper divisors (20661030).

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

10985130 is a wasteful number, since it uses less digits than its factorization.

10985130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10985130 is about 3314.3822953908. The cubic root of 10985130 is about 222.2977499753.

The spelling of 10985130 in words is "ten million, nine hundred eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 229 234 246 369 390 410 458 533 585 615 687 738 1066 1145 1170 1230 1374 1599 1845 2061 2290 2665 2977 3198 3435 3690 4122 4797 5330 5954 6870 7995 8931 9389 9594 10305 14885 15990 17862 18778 20610 23985 26793 28167 29770 44655 46945 47970 53586 56334 84501 89310 93890 122057 133965 140835 169002 244114 267930 281670 366171 422505 610285 732342 845010 1098513 1220570 1830855 2197026 3661710 5492565 10985130