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537013680 = 243571718803
BaseRepresentation
bin100000000000100…
…010110110110000
31101102111010021120
4200000202312300
52044433414210
6125142022240
716210353360
oct4000426660
91342433246
10537013680
11256148365
1212ba17980
1387344598
145146c9a0
153222a270
hex20022db0

537013680 has 160 divisors (see below), whose sum is σ = 2014585344. Its totient is φ = 115519488.

The previous prime is 537013669. The next prime is 537013699. The reversal of 537013680 is 86310735.

It is a happy number.

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, 19159 + ... + 37961.

Almost surely, 2537013680 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 537013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007292672).

537013680 is an abundant number, since it is smaller than the sum of its proper divisors (1477571664).

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

537013680 is a wasteful number, since it uses less digits than its factorization.

537013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18843 (or 18837 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 537013680 is about 23173.5556184199. Note that the first 3 decimals coincide. The cubic root of 537013680 is about 812.8213759827.

The spelling of 537013680 in words is "five hundred thirty-seven million, thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 18803 28560 37606 56409 75212 94015 112818 131621 150424 188030 225636 263242 282045 300848 319651 376060 394863 451272 526484 564090 639302 658105 752120 789726 902544 958953 1052968 1128180 1278604 1316210 1504240 1579452 1598255 1917906 1974315 2105936 2237557 2256360 2557208 2632420 3158904 3196510 3835812 3948630 4475114 4512720 4794765 5114416 5264840 6317808 6393020 6712671 7671624 7897260 8950228 9589530 10529680 11187785 12786040 13425342 15343248 15794520 17900456 19179060 22375570 25572080 26850684 31589040 33563355 35800912 38358120 44751140 53701368 67126710 76716240 89502280 107402736 134253420 179004560 268506840 537013680