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4265010240 = 263541108359
BaseRepresentation
bin1111111000110110…
…1110010001000000
3102000020100222011020
43332031232101000
532213320311430
61543113545440
7210455663121
oct37615562100
912006328136
104265010240
11189953a357
129b0415280
1352c7bb2ca
142c661a048
1519e671b10
hexfe36e440

4265010240 has 112 divisors (see below), whose sum is σ = 13871813760. Its totient is φ = 1109585920.

The previous prime is 4265010229. The next prime is 4265010283. The reversal of 4265010240 is 420105624.

4265010240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4265010240.

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, 14820 + ... + 93539.

It is an arithmetic number, because the mean of its divisors is an integer number (123855480).

Almost surely, 24265010240 is an apocalyptic number.

4265010240 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 4265010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935906880).

4265010240 is an abundant number, since it is smaller than the sum of its proper divisors (9606803520).

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

4265010240 is a wasteful number, since it uses less digits than its factorization.

4265010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108420 (or 108410 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4265010240 is about 65307.0458679613. The cubic root of 4265010240 is about 1621.7106149527.

Adding to 4265010240 its reverse (420105624), we get a palindrome (4685115864).

The spelling of 4265010240 in words is "four billion, two hundred sixty-five million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 108359 216718 325077 433436 541795 650154 866872 1083590 1300308 1625385 1733744 2167180 2600616 3250770 3467488 4334360 4442719 5201232 6501540 6934976 8668720 8885438 10402464 13003080 13328157 17337440 17770876 20804928 22213595 26006160 26656314 34674880 35541752 44427190 52012320 53312628 66640785 71083504 88854380 104024640 106625256 133281570 142167008 177708760 213250512 266563140 284334016 355417520 426501024 533126280 710835040 853002048 1066252560 1421670080 2132505120 4265010240