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30853116 = 22337371103
BaseRepresentation
bin111010110110…
…0011111111100
32011001111112000
41311230133330
530344244431
63021142300
7523150530
oct165543774
964044460
1030853116
1116463448
12a3ba990
1365133a8
144151bc0
152a969e6
hex1d6c7fc

30853116 has 96 divisors (see below), whose sum is σ = 93972480. Its totient is φ = 8569152.

The previous prime is 30853111. The next prime is 30853117. The reversal of 30853116 is 61135803.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30853116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30853111) by changing a digit.

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, 27421 + ... + 28523.

It is an arithmetic number, because the mean of its divisors is an integer number (978880).

Almost surely, 230853116 is an apocalyptic number.

30853116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30853116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46986240).

30853116 is an abundant number, since it is smaller than the sum of its proper divisors (63119364).

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

30853116 is a wasteful number, since it uses less digits than its factorization.

30853116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30853116 is about 5554.5581282403. The cubic root of 30853116 is about 313.6411305686.

Adding to 30853116 its reverse (61135803), we get a palindrome (91988919).

The spelling of 30853116 in words is "thirty million, eight hundred fifty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1103 1332 1554 1998 2206 2331 3108 3309 3996 4412 4662 6618 6993 7721 9324 9927 13236 13986 15442 19854 23163 27972 29781 30884 39708 40811 46326 59562 69489 81622 92652 119124 122433 138978 163244 208467 244866 277956 285677 367299 416934 489732 571354 734598 833868 857031 1101897 1142708 1469196 1714062 2203794 2571093 3428124 4407588 5142186 7713279 10284372 15426558 30853116