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40125240 = 2333553701
BaseRepresentation
bin1001100100010…
…0001100111000
32210111120111000
42121010030320
540233001430
63552005000
7665026131
oct231041470
983446430
1040125240
1120716761
1211530760
13840b85c
145486c88
1537c8e60
hex2644338

40125240 has 128 divisors (see below), whose sum is σ = 136468800. Its totient is φ = 10483200.

The previous prime is 40125229. The next prime is 40125259. The reversal of 40125240 is 4252104.

40125240 is a `hidden beast` number, since 401 + 25 + 240 = 666.

It is a super-2 number, since 2×401252402 = 3220069770115200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 56890 + ... + 57590.

Almost surely, 240125240 is an apocalyptic number.

40125240 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 40125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68234400).

40125240 is an abundant number, since it is smaller than the sum of its proper divisors (96343560).

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

40125240 is a wasteful number, since it uses less digits than its factorization.

40125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40125240 is about 6334.4486737205. The cubic root of 40125240 is about 342.3517464464.

Adding to 40125240 its reverse (4252104), we get a palindrome (44377344).

The spelling of 40125240 in words is "forty million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 701 795 954 1060 1080 1272 1402 1431 1590 1908 2103 2120 2385 2804 2862 3180 3505 3816 4206 4770 5608 5724 6309 6360 7010 7155 8412 9540 10515 11448 12618 14020 14310 16824 18927 19080 21030 25236 28040 28620 31545 37153 37854 42060 50472 57240 63090 74306 75708 84120 94635 111459 126180 148612 151416 185765 189270 222918 252360 297224 334377 371530 378540 445836 557295 668754 743060 757080 891672 1003131 1114590 1337508 1486120 1671885 2006262 2229180 2675016 3343770 4012524 4458360 5015655 6687540 8025048 10031310 13375080 20062620 40125240