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30185946 = 235719467
BaseRepresentation
bin111001100100…
…1100111011010
32002210121100000
41303021213122
530211422241
62554553430
7514401450
oct163114732
962717300
1030185946
111604816a
12a138876
13633b80b
14401a9d0
1529b3eb6
hex1cc99da

30185946 has 96 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 8153136.

The previous prime is 30185941. The next prime is 30185951. The reversal of 30185946 is 64958103.

It is an interprime number because it is at equal distance from previous prime (30185941) and next prime (30185951).

It is a super-2 number, since 2×301859462 = 1822382671829832, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30185946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30185941) 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, 64405 + ... + 64871.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

It is a vampire number, since it can be written as 35918406 (with its own digits).

Almost surely, 230185946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30185946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

30185946 is an abundant number, since it is smaller than the sum of its proper divisors (51583014).

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

30185946 is a wasteful number, since it uses less digits than its factorization.

30185946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 30185946 is about 5494.1738232422. The cubic root of 30185946 is about 311.3639037314.

The spelling of 30185946 in words is "thirty million, one hundred eighty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 378 399 467 486 513 567 798 934 1026 1134 1197 1401 1539 1701 2394 2802 3078 3269 3402 3591 4203 4617 6538 7182 8406 8873 9234 9807 10773 12609 17746 19614 21546 25218 26619 29421 32319 37827 53238 58842 62111 64638 75654 79857 88263 113481 124222 159714 176526 186333 226962 239571 264789 372666 479142 529578 558999 718713 794367 1117998 1437426 1588734 1676997 2156139 3353994 4312278 5030991 10061982 15092973 30185946