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40146260 = 225711131199
BaseRepresentation
bin1001100100100…
…1010101010100
32210112122022112
42121021111110
540234140020
63552250152
7665144330
oct231112524
983478275
1040146260
1120730530
1211540958
1384182ab
1454907c0
1537d02c5
hex2649554

40146260 has 96 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 12355200.

The previous prime is 40146251. The next prime is 40146269. The reversal of 40146260 is 6264104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40146251) and next prime (40146269).

It is a super-2 number, since 2×401462602 = 3223444383975200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40146269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201641 + ... + 201839.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 240146260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

40146260 is an abundant number, since it is smaller than the sum of its proper divisors (66298540).

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

40146260 is a wasteful number, since it uses less digits than its factorization.

40146260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 40146260 is about 6336.1076379746. The cubic root of 40146260 is about 342.4115174489.

The spelling of 40146260 in words is "forty million, one hundred forty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 131 140 154 199 220 262 308 385 398 524 655 770 796 917 995 1310 1393 1441 1540 1834 1990 2189 2620 2786 2882 3668 3980 4378 4585 5572 5764 6965 7205 8756 9170 10087 10945 13930 14410 15323 18340 20174 21890 26069 27860 28820 30646 40348 43780 50435 52138 61292 76615 100870 104276 130345 153230 182483 201740 260690 286759 306460 364966 521380 573518 729932 912415 1147036 1433795 1824830 2007313 2867590 3649660 4014626 5735180 8029252 10036565 20073130 40146260