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41130480 = 2435172593
BaseRepresentation
bin1001110011100…
…1100111110000
32212101122102010
42130321213300
541012133410
64025322520
71006413636
oct234714760
985348363
1041130480
1121242a36
1211936440
1386a1281
145669356
153926c20
hex27399f0

41130480 has 120 divisors (see below), whose sum is σ = 135674352. Its totient is φ = 10305536.

The previous prime is 41130469. The next prime is 41130487. The reversal of 41130480 is 8403114.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69064 + ... + 69656.

Almost surely, 241130480 is an apocalyptic number.

41130480 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 41130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67837176).

41130480 is an abundant number, since it is smaller than the sum of its proper divisors (94543872).

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

41130480 is a wasteful number, since it uses less digits than its factorization.

41130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 41130480 is about 6413.3049202420. The cubic root of 41130480 is about 345.1871280570.

Adding to 41130480 its reverse (8403114), we get a palindrome (49533594).

The spelling of 41130480 in words is "forty-one million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 593 680 816 867 1020 1156 1186 1360 1445 1734 1779 2040 2312 2372 2890 2965 3468 3558 4080 4335 4624 4744 5780 5930 6936 7116 8670 8895 9488 10081 11560 11860 13872 14232 17340 17790 20162 23120 23720 28464 30243 34680 35580 40324 47440 50405 60486 69360 71160 80648 100810 120972 142320 151215 161296 171377 201620 241944 302430 342754 403240 483888 514131 604860 685508 806480 856885 1028262 1209720 1371016 1713770 2056524 2419440 2570655 2742032 3427540 4113048 5141310 6855080 8226096 10282620 13710160 20565240 41130480