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40014080 = 28543727
BaseRepresentation
bin1001100010100…
…1000100000000
32210021220222222
42120221010000
540220422310
63545350212
7664054061
oct230510400
983256888
1040014080
1120650197
1211498368
1383a0092
145458568
1537a6055
hex2629100

40014080 has 72 divisors (see below), whose sum is σ = 98210112. Its totient is φ = 15611904.

The previous prime is 40014077. The next prime is 40014083. The reversal of 40014080 is 8041004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40014077) and next prime (40014083).

It is a super-2 number, since 2×400140802 = 3202253196492800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40014083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54677 + ... + 55403.

Almost surely, 240014080 is an apocalyptic number.

40014080 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 40014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49105056).

40014080 is an abundant number, since it is smaller than the sum of its proper divisors (58196032).

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

40014080 is an equidigital number, since it uses as much as digits as its factorization.

40014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 40014080 is about 6325.6683441357. The cubic root of 40014080 is about 342.0353120635.

Adding to 40014080 its reverse (8041004), we get a palindrome (48055084).

The spelling of 40014080 in words is "forty million, fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 688 727 860 1280 1376 1454 1720 2752 2908 3440 3635 5504 5816 6880 7270 11008 11632 13760 14540 23264 27520 29080 31261 46528 55040 58160 62522 93056 116320 125044 156305 186112 232640 250088 312610 465280 500176 625220 930560 1000352 1250440 2000704 2500880 4001408 5001760 8002816 10003520 20007040 40014080