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41430000 = 243541381
BaseRepresentation
bin1001111000001…
…0101111110000
32212221212021110
42132002233300
541101230000
64035553320
71012102113
oct236025760
985855243
1041430000
1121427a77
1211a5b840
1387776c1
14570657a
153985850
hex2782bf0

41430000 has 100 divisors (see below), whose sum is σ = 133838408. Its totient is φ = 11040000.

The previous prime is 41429987. The next prime is 41430007. The reversal of 41430000 is 3414.

41430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×414300003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 29310 + ... + 30690.

Almost surely, 241430000 is an apocalyptic number.

41430000 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 41430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66919204).

41430000 is an abundant number, since it is smaller than the sum of its proper divisors (92408408).

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

41430000 is a wasteful number, since it uses less digits than its factorization.

41430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 41430000 is about 6436.6140167016. The cubic root of 41430000 is about 346.0230084825.

Adding to 41430000 its reverse (3414), we get a palindrome (41433414).

The spelling of 41430000 in words is "forty-one million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1381 1500 1875 2000 2500 2762 3000 3750 4143 5000 5524 6000 6905 7500 8286 10000 11048 13810 15000 16572 20715 22096 27620 30000 33144 34525 41430 55240 66288 69050 82860 103575 110480 138100 165720 172625 207150 276200 331440 345250 414300 517875 552400 690500 828600 863125 1035750 1381000 1657200 1726250 2071500 2589375 2762000 3452500 4143000 5178750 6905000 8286000 10357500 13810000 20715000 41430000