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30143168 = 261147911
BaseRepresentation
bin111001011111…
…1001011000000
32002201102122122
41302333023000
530204040133
62554023412
7514132646
oct162771300
962642578
1030143168
1116019010
12a117b68
1363251c3
144009196
1529a6498
hex1cbf2c0

30143168 has 56 divisors (see below), whose sum is σ = 66714624. Its totient is φ = 13395200.

The previous prime is 30143153. The next prime is 30143173. The reversal of 30143168 is 86134103.

It is a super-2 number, since 2×301431682 = 1817221154152448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32633 + ... + 33543.

Almost surely, 230143168 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 30143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33357312).

30143168 is an abundant number, since it is smaller than the sum of its proper divisors (36571456).

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

30143168 is a wasteful number, since it uses less digits than its factorization.

30143168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 30143168 is about 5490.2794100118. The cubic root of 30143168 is about 311.2167511244.

The spelling of 30143168 in words is "thirty million, one hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 911 1034 1504 1822 2068 3008 3644 4136 7288 8272 10021 14576 16544 20042 29152 33088 40084 42817 58304 80168 85634 160336 171268 320672 342536 470987 641344 685072 941974 1370144 1883948 2740288 3767896 7535792 15071584 30143168