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5261132460 = 22351733115583
BaseRepresentation
bin1001110011001011…
…01000001010101100
3111120122202012221210
410321211220022230
541233322214320
62230020154420
7244242613413
oct47145501254
914518665853
105261132460
11225a854761
121029b38a10
1365ac9b43c
1437ca3847a
1520bd390e0
hex1399682ac

5261132460 has 96 divisors (see below), whose sum is σ = 15645837312. Its totient is φ = 1316367360.

The previous prime is 5261132449. The next prime is 5261132473. The reversal of 5261132460 is 642311625.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329829 + ... + 345411.

It is an arithmetic number, because the mean of its divisors is an integer number (162977472).

Almost surely, 25261132460 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 5261132460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7822918656).

5261132460 is an abundant number, since it is smaller than the sum of its proper divisors (10384704852).

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

5261132460 is a wasteful number, since it uses less digits than its factorization.

5261132460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943 (or 15941 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5261132460 is about 72533.6643221615. The cubic root of 5261132460 is about 1739.2409226981.

The spelling of 5261132460 in words is "five billion, two hundred sixty-one million, one hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 331 340 510 662 993 1020 1324 1655 1986 3310 3972 4965 5627 6620 9930 11254 15583 16881 19860 22508 28135 31166 33762 46749 56270 62332 67524 77915 84405 93498 112540 155830 168810 186996 233745 264911 311660 337620 467490 529822 794733 934980 1059644 1324555 1589466 2649110 3178932 3973665 5157973 5298220 7947330 10315946 15473919 15894660 20631892 25789865 30947838 51579730 61895676 77369595 87685541 103159460 154739190 175371082 263056623 309478380 350742164 438427705 526113246 876855410 1052226492 1315283115 1753710820 2630566230 5261132460