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30952530 = 2345753103
BaseRepresentation
bin111011000010…
…0110001010010
32011020112220000
41312010301102
530410440110
63023230430
7524043420
oct166046122
964215800
1030952530
1116521104
12a448416
13654970b
14417a110
152ab61c0
hex1d84c52

30952530 has 160 divisors (see below), whose sum is σ = 97853184. Its totient is φ = 6873984.

The previous prime is 30952513. The next prime is 30952531. The reversal of 30952530 is 3525903.

It is a super-2 number, since 2×309525302 = 1916118226801800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30952494 and 30952503.

It is not an unprimeable number, because it can be changed into a prime (30952531) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 300459 + ... + 300561.

Almost surely, 230952530 is an apocalyptic number.

30952530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30952530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48926592).

30952530 is an abundant number, since it is smaller than the sum of its proper divisors (66900654).

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

30952530 is a wasteful number, since it uses less digits than its factorization.

30952530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 30952530 is about 5563.4997977892. The cubic root of 30952530 is about 313.9776377978.

It can be divided in two parts, 3095 and 2530, that added together give a square (5625 = 752).

The spelling of 30952530 in words is "thirty million, nine hundred fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 81 90 103 105 106 126 135 159 162 189 206 210 265 270 309 315 318 371 378 405 477 515 530 567 618 630 721 742 795 810 927 945 954 1030 1113 1134 1431 1442 1545 1590 1854 1855 1890 2163 2226 2385 2781 2835 2862 3090 3339 3605 3710 4293 4326 4635 4770 5459 5562 5565 5670 6489 6678 7155 7210 8343 8586 9270 10017 10815 10918 11130 12978 13905 14310 16377 16686 16695 19467 20034 21465 21630 27295 27810 30051 32445 32754 33390 38213 38934 41715 42930 49131 50085 54590 58401 60102 64890 76426 81885 83430 97335 98262 100170 114639 116802 147393 150255 163770 191065 194670 229278 245655 292005 294786 300510 343917 382130 442179 491310 573195 584010 687834 736965 884358 1031751 1146390 1473930 1719585 2063502 2210895 3095253 3439170 4421790 5158755 6190506 10317510 15476265 30952530