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41142240 = 2532528571
BaseRepresentation
bin1001110011110…
…0011111100000
32212102020112200
42130330133200
541013022430
64025453200
71006463136
oct234743740
985366480
1041142240
1121250857
1211941200
1386a6729
14566d756
15392a460
hex273c7e0

41142240 has 72 divisors (see below), whose sum is σ = 140402808. Its totient is φ = 10970880.

The previous prime is 41142209. The next prime is 41142251. The reversal of 41142240 is 4224114.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12846 + ... + 15725.

It is an arithmetic number, because the mean of its divisors is an integer number (1950039).

Almost surely, 241142240 is an apocalyptic number.

41142240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41142240 is an abundant number, since it is smaller than the sum of its proper divisors (99260568).

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

41142240 is a wasteful number, since it uses less digits than its factorization.

41142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28592 (or 28581 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41142240 is about 6414.2216986942. The cubic root of 41142240 is about 345.2200234815.

Adding to 41142240 its reverse (4224114), we get a palindrome (45366354).

The spelling of 41142240 in words is "forty-one million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 28571 57142 85713 114284 142855 171426 228568 257139 285710 342852 428565 457136 514278 571420 685704 857130 914272 1028556 1142840 1285695 1371408 1714260 2057112 2285680 2571390 2742816 3428520 4114224 4571360 5142780 6857040 8228448 10285560 13714080 20571120 41142240