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41420040 = 23351811907
BaseRepresentation
bin1001111000000…
…0010100001000
32212221100121120
42132000110020
541100420130
64035435240
71012031064
oct236002410
985840546
1041420040
1121420542
1211a55b20
138772ccc
145702aa4
153982910
hex2780508

41420040 has 64 divisors (see below), whose sum is σ = 125012160. Its totient is φ = 10978560.

The previous prime is 41420039. The next prime is 41420047. The reversal of 41420040 is 4002414.

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

It is not an unprimeable number, because it can be changed into a prime (41420047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20767 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (1953315).

Almost surely, 241420040 is an apocalyptic number.

41420040 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 41420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62506080).

41420040 is an abundant number, since it is smaller than the sum of its proper divisors (83592120).

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

41420040 is a wasteful number, since it uses less digits than its factorization.

41420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 41420040 is about 6435.8402714797. The cubic root of 41420040 is about 345.9952776484.

Adding to 41420040 its reverse (4002414), we get a palindrome (45422454).

The spelling of 41420040 in words is "forty-one million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 1907 2172 2715 3620 3814 4344 5430 5721 7240 7628 9535 10860 11442 15256 19070 21720 22884 28605 38140 45768 57210 76280 114420 228840 345167 690334 1035501 1380668 1725835 2071002 2761336 3451670 4142004 5177505 6903340 8284008 10355010 13806680 20710020 41420040