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41134680 = 23325163701
BaseRepresentation
bin1001110011101…
…0101001011000
32212101212011200
42130322221120
541012302210
64025354200
71006432116
oct234725130
985355150
1041134680
1121246104
1211938960
1386a3162
14566aab6
1539280c0
hex273aa58

41134680 has 96 divisors (see below), whose sum is σ = 134699760. Its totient is φ = 10886400.

The previous prime is 41134663. The next prime is 41134699. The reversal of 41134680 is 8643114.

41134680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 58330 + ... + 59030.

Almost surely, 241134680 is an apocalyptic number.

41134680 is a gapful number since it is divisible by the number (40) 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 41134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67349880).

41134680 is an abundant number, since it is smaller than the sum of its proper divisors (93565080).

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

41134680 is a wasteful number, since it uses less digits than its factorization.

41134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41134680 is about 6413.6323561614. The cubic root of 41134680 is about 345.1988771426.

Adding to 41134680 its reverse (8643114), we get a palindrome (49777794).

It can be divided in two parts, 41134 and 680, that added together give a palindrome (41814).

The spelling of 41134680 in words is "forty-one million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 701 815 978 1304 1402 1467 1630 1956 2103 2445 2804 2934 3260 3505 3912 4206 4890 5608 5868 6309 6520 7010 7335 8412 9780 10515 11736 12618 14020 14670 16824 19560 21030 25236 28040 29340 31545 42060 50472 58680 63090 84120 114263 126180 228526 252360 342789 457052 571315 685578 914104 1028367 1142630 1371156 1713945 2056734 2285260 2742312 3427890 4113468 4570520 5141835 6855780 8226936 10283670 13711560 20567340 41134680