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5886340240 = 245112976269
BaseRepresentation
bin1010111101101101…
…00110110010010000
3120012020012001210111
411132312212302100
544023400341430
62412032411104
7265604031544
oct53666466220
916166161714
105886340240
11255075a600
1211833a6a94
1372a681981
143dbaa3a24
15246b85c2a
hex15eda6c90

5886340240 has 120 divisors (see below), whose sum is σ = 15200511480. Its totient is φ = 2118082560.

The previous prime is 5886340237. The next prime is 5886340247. The reversal of 5886340240 is 420436885.

It can be written as a sum of positive squares in 4 ways, for example, as 238517136 + 5647823104 = 15444^2 + 75152^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5886340193 and 5886340202.

It is not an unprimeable number, because it can be changed into a prime (5886340247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935826 + ... + 942094.

It is an arithmetic number, because the mean of its divisors is an integer number (126670929).

Almost surely, 25886340240 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 5886340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600255740).

5886340240 is an abundant number, since it is smaller than the sum of its proper divisors (9314171240).

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

5886340240 is a wasteful number, since it uses less digits than its factorization.

5886340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 5886340240 is about 76722.4884893601. The cubic root of 5886340240 is about 1805.5732854657.

The spelling of 5886340240 in words is "five billion, eight hundred eighty-six million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 121 176 194 220 242 388 440 484 485 605 776 880 968 970 1067 1210 1552 1936 1940 2134 2420 3880 4268 4840 5335 6269 7760 8536 9680 10670 11737 12538 17072 21340 23474 25076 31345 42680 46948 50152 58685 62690 68959 85360 93896 100304 117370 125380 137918 187792 234740 250760 275836 344795 469480 501520 551672 608093 689590 758549 938960 1103344 1216186 1379180 1517098 2432372 2758360 3034196 3040465 3792745 4864744 5516720 6068392 6080930 6689023 7585490 9729488 12136784 12161860 13378046 15170980 24323720 26756092 30341960 33445115 48647440 53512184 60683920 66890230 73579253 107024368 133780460 147158506 267560920 294317012 367896265 535121840 588634024 735792530 1177268048 1471585060 2943170120 5886340240