Search a number
-
+
41493120 = 273521611
BaseRepresentation
bin1001111001001…
…0001010000000
32220002001212020
42132102022000
541110234440
64041201440
71012454124
oct236221200
986061766
1041493120
1121470439
1211a90280
13879a356
145721584
1539993d0
hex2792280

41493120 has 64 divisors (see below), whose sum is σ = 132265440. Its totient is φ = 11064320.

The previous prime is 41493079. The next prime is 41493121. The reversal of 41493120 is 2139414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41493121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8886 + ... + 12725.

Almost surely, 241493120 is an apocalyptic number.

41493120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41493120 is an abundant number, since it is smaller than the sum of its proper divisors (90772320).

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

41493120 is a wasteful number, since it uses less digits than its factorization.

41493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21633 (or 21621 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 41493120 is about 6441.5153496673. The cubic root of 41493120 is about 346.1986452180.

The spelling of 41493120 in words is "forty-one million, four hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 21611 43222 64833 86444 108055 129666 172888 216110 259332 324165 345776 432220 518664 648330 691552 864440 1037328 1296660 1383104 1728880 2074656 2593320 2766208 3457760 4149312 5186640 6915520 8298624 10373280 13831040 20746560 41493120