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11530974 = 237313431
BaseRepresentation
bin101011111111…
…001011011110
3210200211112010
4223333023132
510422442344
61051052050
7200004000
oct53771336
923624463
1011530974
116566434
123a41026
132509680
141762370
15102b8b9
hexaff2de

11530974 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3034080.

The previous prime is 11530957. The next prime is 11530991. The reversal of 11530974 is 47903511.

It is an interprime number because it is at equal distance from previous prime (11530957) and next prime (11530991).

It is a super-2 number, since 2×115309742 = 265926722777352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26539 + ... + 26969.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 211530974 is an apocalyptic number.

11530974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11530974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11530974 is an abundant number, since it is smaller than the sum of its proper divisors (17499426).

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

11530974 is a wasteful number, since it uses less digits than its factorization.

11530974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 11530974 is about 3395.7287877568. The cubic root of 11530974 is about 225.9203389589.

The spelling of 11530974 in words is "eleven million, five hundred thirty thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 431 546 637 686 862 1029 1274 1293 1911 2058 2586 3017 3822 4459 5603 6034 8918 9051 11206 13377 16809 18102 21119 26754 33618 39221 42238 63357 78442 117663 126714 147833 235326 274547 295666 443499 549094 823641 886998 1647282 1921829 3843658 5765487 11530974