Search a number
-
+
81417840 = 2435748463
BaseRepresentation
bin1001101101001…
…01011001110000
312200012110021120
410312211121300
5131320332330
612025022240
72006016540
oct466453160
9180173246
1081417840
1141a5a479
1223324980
1313b3884a
14ab55320
157233c10
hex4da5670

81417840 has 80 divisors (see below), whose sum is σ = 288457728. Its totient is φ = 18609408.

The previous prime is 81417839. The next prime is 81417883. The reversal of 81417840 is 4871418.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22552 + ... + 25911.

Almost surely, 281417840 is an apocalyptic number.

81417840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81417840 is an abundant number, since it is smaller than the sum of its proper divisors (207039888).

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

81417840 is a wasteful number, since it uses less digits than its factorization.

81417840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48486 (or 48480 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 81417840 is about 9023.1834736971. The cubic root of 81417840 is about 433.4175825672.

The spelling of 81417840 in words is "eighty-one million, four hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 48463 96926 145389 193852 242315 290778 339241 387704 484630 581556 678482 726945 775408 969260 1017723 1163112 1356964 1453890 1696205 1938520 2035446 2326224 2713928 2907780 3392410 3877040 4070892 5088615 5427856 5815560 6784820 8141784 10177230 11631120 13569640 16283568 20354460 27139280 40708920 81417840