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40112240 = 245783863
BaseRepresentation
bin1001100100000…
…1000001110000
32210110220122112
42121001001300
540232042430
63551424452
7664643210
oct231010160
983426575
1040112240
1120707a13
1211525128
13840596c
145482240
1537c5195
hex2641070

40112240 has 80 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 13571328.

The previous prime is 40112209. The next prime is 40112243. The reversal of 40112240 is 4221104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112243) 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, 46049 + ... + 46911.

Almost surely, 240112240 is an apocalyptic number.

40112240 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 40112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

40112240 is an abundant number, since it is smaller than the sum of its proper divisors (67880848).

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

40112240 is a wasteful number, since it uses less digits than its factorization.

40112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 40112240 is about 6333.4224555133. The cubic root of 40112240 is about 342.3147701073.

Adding to 40112240 its reverse (4221104), we get a palindrome (44333344).

The spelling of 40112240 in words is "forty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 863 1162 1328 1660 1726 2324 2905 3320 3452 4315 4648 5810 6041 6640 6904 8630 9296 11620 12082 13808 17260 23240 24164 30205 34520 46480 48328 60410 69040 71629 96656 120820 143258 241640 286516 358145 483280 501403 573032 716290 1002806 1146064 1432580 2005612 2507015 2865160 4011224 5014030 5730320 8022448 10028060 20056120 40112240