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41023440 = 24325227251
BaseRepresentation
bin1001110001111…
…1011111010000
32212012012120200
42130133133100
541000222230
64023135200
71005456603
oct234373720
985165520
1041023440
112117a577
12118a4500
138664633
14563c33a
153905160
hex271f7d0

41023440 has 120 divisors (see below), whose sum is σ = 138928608. Its totient is φ = 10848000.

The previous prime is 41023403. The next prime is 41023441. The reversal of 41023440 is 4432014.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41023441) 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, 163315 + ... + 163565.

Almost surely, 241023440 is an apocalyptic number.

41023440 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 41023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

41023440 is an abundant number, since it is smaller than the sum of its proper divisors (97905168).

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

41023440 is a wasteful number, since it uses less digits than its factorization.

41023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41023440 is about 6404.9543323899. The cubic root of 41023440 is about 344.8874238871.

Adding to 41023440 its reverse (4432014), we get a palindrome (45455454).

The spelling of 41023440 in words is "forty-one million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 227 240 251 360 454 502 681 720 753 908 1004 1135 1255 1362 1506 1816 2008 2043 2259 2270 2510 2724 3012 3405 3632 3765 4016 4086 4518 4540 5020 5448 6024 6810 7530 8172 9036 9080 10040 10215 10896 11295 12048 13620 15060 16344 18072 18160 20080 20430 22590 27240 30120 32688 36144 40860 45180 54480 56977 60240 81720 90360 113954 163440 170931 180720 227908 284885 341862 455816 512793 569770 683724 854655 911632 1025586 1139540 1367448 1709310 2051172 2279080 2563965 2734896 3418620 4102344 4558160 5127930 6837240 8204688 10255860 13674480 20511720 41023440