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5124103040 = 27577511523
BaseRepresentation
bin1001100010110101…
…11001101110000000
3111020002220101221002
410301122321232000
540443232244130
62204243151132
7240660104630
oct46132715600
914202811832
105124103040
11219a471501
12bb00754a8
13638791244
143687686c0
151eecbcb45
hex1316b9b80

5124103040 has 128 divisors (see below), whose sum is σ = 14027627520. Its totient is φ = 1753344000.

The previous prime is 5124103037. The next prime is 5124103079. The reversal of 5124103040 is 403014215.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 3363719 + ... + 3365241.

It is an arithmetic number, because the mean of its divisors is an integer number (109590840).

Almost surely, 25124103040 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 5124103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013813760).

5124103040 is an abundant number, since it is smaller than the sum of its proper divisors (8903524480).

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

5124103040 is a wasteful number, since it uses less digits than its factorization.

5124103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5124103040 is about 71582.8404018728. The cubic root of 5124103040 is about 1724.0080317884.

Adding to 5124103040 its reverse (403014215), we get a palindrome (5527117255).

The spelling of 5124103040 in words is "five billion, one hundred twenty-four million, one hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 751 896 1120 1502 1523 2240 3004 3046 3755 4480 5257 6008 6092 7510 7615 10514 10661 12016 12184 15020 15230 21028 21322 24032 24368 26285 30040 30460 42056 42644 48064 48736 52570 53305 60080 60920 84112 85288 96128 97472 105140 106610 120160 121840 168224 170576 194944 210280 213220 240320 243680 336448 341152 420560 426440 480640 487360 672896 682304 841120 852880 974720 1143773 1364608 1682240 1705760 2287546 3364480 3411520 4575092 5718865 6823040 8006411 9150184 11437730 16012822 18300368 22875460 32025644 36600736 40032055 45750920 64051288 73201472 80064110 91501840 128102576 146402944 160128220 183003680 256205152 320256440 366007360 512410304 640512880 732014720 1024820608 1281025760 2562051520 5124103040