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30681168 = 2437127719
BaseRepresentation
bin111010100001…
…0100001010000
32010201202122120
41311002201100
530323244133
63013334240
7521533320
oct165024120
963652576
1030681168
1116356241
12a337380
13648304b
144109280
152a60ab3
hex1d42850

30681168 has 80 divisors (see below), whose sum is σ = 91422720. Its totient is φ = 8684928.

The previous prime is 30681163. The next prime is 30681173. The reversal of 30681168 is 86118603.

It is an interprime number because it is at equal distance from previous prime (30681163) and next prime (30681173).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30681163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42313 + ... + 43031.

It is an arithmetic number, because the mean of its divisors is an integer number (1142784).

Almost surely, 230681168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45711360).

30681168 is an abundant number, since it is smaller than the sum of its proper divisors (60741552).

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

30681168 is a wasteful number, since it uses less digits than its factorization.

30681168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30681168 is about 5539.0584037361. The cubic root of 30681168 is about 313.0573919876.

The spelling of 30681168 in words is "thirty million, six hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 719 762 889 1016 1438 1524 1778 2032 2157 2667 2876 3048 3556 4314 5033 5334 5752 6096 7112 8628 10066 10668 11504 14224 15099 17256 20132 21336 30198 34512 40264 42672 60396 80528 91313 120792 182626 241584 273939 365252 547878 639191 730504 1095756 1278382 1461008 1917573 2191512 2556764 3835146 4383024 5113528 7670292 10227056 15340584 30681168