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40124240 = 2451341941
BaseRepresentation
bin1001100100001…
…1111101010000
32210111112002222
42121003331100
540232433430
63552000212
7665023202
oct231037520
983445088
1040124240
1120715a32
1211530068
13840b270
145486772
1537c89e5
hex2643f50

40124240 has 80 divisors (see below), whose sum is σ = 103024656. Its totient is φ = 14438400.

The previous prime is 40124237. The next prime is 40124263. The reversal of 40124240 is 4242104.

It can be written as a sum of positive squares in 8 ways, for example, as 8809024 + 31315216 = 2968^2 + 5596^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42170 + ... + 43110.

Almost surely, 240124240 is an apocalyptic number.

40124240 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 40124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51512328).

40124240 is an abundant number, since it is smaller than the sum of its proper divisors (62900416).

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

40124240 is a wasteful number, since it uses less digits than its factorization.

40124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 40124240 is about 6334.3697397610. The cubic root of 40124240 is about 342.3489023962.

Adding to 40124240 its reverse (4242104), we get a palindrome (44366344).

The spelling of 40124240 in words is "forty million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 941 1040 1066 1640 1882 2132 2665 3280 3764 4264 4705 5330 7528 8528 9410 10660 12233 15056 18820 21320 24466 37640 38581 42640 48932 61165 75280 77162 97864 122330 154324 192905 195728 244660 308648 385810 489320 501553 617296 771620 978640 1003106 1543240 2006212 2507765 3086480 4012424 5015530 8024848 10031060 20062120 40124240