Search a number
-
+
5160063000 = 2335310691609
BaseRepresentation
bin1001100111001000…
…00101000000011000
3111022121120100201110
410303210011000120
541031434004000
62212010020320
7241604545311
oct46344050030
914277510643
105160063000
1122087a2784
1210001176a0
13643071c21
1436d449608
15203022850
hex133905018

5160063000 has 128 divisors (see below), whose sum is σ = 16124472000. Its totient is φ = 1373875200.

The previous prime is 5160062983. The next prime is 5160063001. The reversal of 5160063000 is 3600615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160063001) 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, 3206196 + ... + 3207804.

Almost surely, 25160063000 is an apocalyptic number.

5160063000 is a gapful number since it is divisible by the number (50) 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 5160063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062236000).

5160063000 is an abundant number, since it is smaller than the sum of its proper divisors (10964409000).

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

5160063000 is a wasteful number, since it uses less digits than its factorization.

5160063000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5160063000 is about 71833.5784991949. The cubic root of 5160063000 is about 1728.0315521716.

Adding to 5160063000 its reverse (3600615), we get a palindrome (5163663615).

The spelling of 5160063000 in words is "five billion, one hundred sixty million, sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1069 1500 1609 2138 3000 3207 3218 4276 4827 5345 6414 6436 8045 8552 9654 10690 12828 12872 16035 16090 19308 21380 24135 25656 26725 32070 32180 38616 40225 42760 48270 53450 64140 64360 80175 80450 96540 106900 120675 128280 133625 160350 160900 193080 201125 213800 241350 267250 320700 321800 400875 402250 482700 534500 603375 641400 801750 804500 965400 1069000 1206750 1603500 1609000 1720021 2413500 3207000 3440042 4827000 5160063 6880084 8600105 10320126 13760168 17200210 20640252 25800315 34400420 41280504 43000525 51600630 68800840 86001050 103201260 129001575 172002100 206402520 215002625 258003150 344004200 430005250 516006300 645007875 860010500 1032012600 1290015750 1720021000 2580031500 5160063000