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5105354520 = 233579916133
BaseRepresentation
bin1001100000100110…
…11000011100011000
3111011210121212210110
410300103120130120
540423432321040
62202333244320
7240341540340
oct46023303430
914153555713
105105354520
11218a926462
12ba59336a0
13634928646
14366087d20
151ed317980
hex1304d8718

5105354520 has 128 divisors (see below), whose sum is σ = 17524592640. Its totient is φ = 1165570560.

The previous prime is 5105354519. The next prime is 5105354521. The reversal of 5105354520 is 254535015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5105354519) and next prime (5105354521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105354521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829374 + ... + 835506.

It is an arithmetic number, because the mean of its divisors is an integer number (136910880).

Almost surely, 25105354520 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 5105354520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762296320).

5105354520 is an abundant number, since it is smaller than the sum of its proper divisors (12419238120).

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

5105354520 is a wasteful number, since it uses less digits than its factorization.

5105354520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 5105354520 is about 71451.7635891515. The cubic root of 5105354520 is about 1721.9028112433.

Adding to 5105354520 its reverse (254535015), we get a palindrome (5359889535).

The spelling of 5105354520 in words is "five billion, one hundred five million, three hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 991 1982 2973 3964 4955 5946 6133 6937 7928 9910 11892 12266 13874 14865 18399 19820 20811 23784 24532 27748 29730 30665 34685 36798 39640 41622 42931 49064 55496 59460 61330 69370 73596 83244 85862 91995 104055 118920 122660 128793 138740 147192 166488 171724 183990 208110 214655 245320 257586 277480 343448 367980 416220 429310 515172 643965 735960 832440 858620 1030344 1287930 1717240 2575860 5151720 6077803 12155606 18233409 24311212 30389015 36466818 42544621 48622424 60778030 72933636 85089242 91167045 121556060 127633863 145867272 170178484 182334090 212723105 243112120 255267726 340356968 364668180 425446210 510535452 638169315 729336360 850892420 1021070904 1276338630 1701784840 2552677260 5105354520