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41430120 = 2335675153
BaseRepresentation
bin1001111000001…
…0110001101000
32212221212102220
42132002301220
541101230440
64035554040
71012102344
oct236026150
985855386
1041430120
1121428076
1211a5b920
138777784
145706624
1539858d0
hex2782c68

41430120 has 64 divisors (see below), whose sum is σ = 126169920. Its totient is φ = 10881024.

The previous prime is 41430119. The next prime is 41430143. The reversal of 41430120 is 2103414.

It is a super-3 number, since 3×414301203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41430120.

It is an unprimeable number.

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, 5464 + ... + 10616.

It is an arithmetic number, because the mean of its divisors is an integer number (1971405).

Almost surely, 241430120 is an apocalyptic number.

41430120 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 41430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63084960).

41430120 is an abundant number, since it is smaller than the sum of its proper divisors (84739800).

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

41430120 is a wasteful number, since it uses less digits than its factorization.

41430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 41430120 is about 6436.6233383662. The cubic root of 41430120 is about 346.0233425619.

Adding to 41430120 its reverse (2103414), we get a palindrome (43533534).

The spelling of 41430120 in words is "forty-one million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 5153 8040 10306 15459 20612 25765 30918 41224 51530 61836 77295 103060 123672 154590 206120 309180 345251 618360 690502 1035753 1381004 1726255 2071506 2762008 3452510 4143012 5178765 6905020 8286024 10357530 13810040 20715060 41430120