[go: up one dir, main page]

Search a number
-
+
168094560 = 2535477451
BaseRepresentation
bin10100000010011…
…10101101100000
3102201022002101110
422001032231200
5321013011220
624402503320
74110531414
oct1201165540
9381262343
10168094560
1186980a27
1248364b40
1328a95c4a
1418478d44
15eb55be0
hexa04eb60

168094560 has 96 divisors (see below), whose sum is σ = 540836352. Its totient is φ = 43865600.

The previous prime is 168094529. The next prime is 168094561. The reversal of 168094560 is 65490861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1680945602 = 56511562203187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168094561) 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 15 ways as a sum of consecutive naturals, for example, 18835 + ... + 26285.

It is an arithmetic number, because the mean of its divisors is an integer number (5633712).

Almost surely, 2168094560 is an apocalyptic number.

168094560 is a gapful number since it is divisible by the number (10) 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 168094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270418176).

168094560 is an abundant number, since it is smaller than the sum of its proper divisors (372741792).

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

168094560 is a wasteful number, since it uses less digits than its factorization.

168094560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 168094560 is about 12965.1286148653. The cubic root of 168094560 is about 551.8883412043. Note that the first 3 decimals are identical.

The spelling of 168094560 in words is "one hundred sixty-eight million, ninety-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7451 7520 11280 14902 22353 22560 29804 37255 44706 59608 74510 89412 111765 119216 149020 178824 223530 238432 298040 350197 357648 447060 596080 700394 715296 894120 1050591 1192160 1400788 1750985 1788240 2101182 2801576 3501970 3576480 4202364 5252955 5603152 7003940 8404728 10505910 11206304 14007880 16809456 21011820 28015760 33618912 42023640 56031520 84047280 168094560