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537020640 = 253251328687
BaseRepresentation
bin100000000000100…
…100100011100000
31101102111110211100
4200000210203200
52044434130030
6125142114400
716210412562
oct4000444340
91342443740
10537020640
11256152612
1212ba1ba00
13873477c0
1451471332
153222c360
hex200248e0

537020640 has 144 divisors (see below), whose sum is σ = 1973619648. Its totient is φ = 132185088.

The previous prime is 537020597. The next prime is 537020663. The reversal of 537020640 is 46020735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4377 + ... + 33063.

It is an arithmetic number, because the mean of its divisors is an integer number (13705692).

Almost surely, 2537020640 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 537020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986809824).

537020640 is an abundant number, since it is smaller than the sum of its proper divisors (1436599008).

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

537020640 is a wasteful number, since it uses less digits than its factorization.

537020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721 (or 28710 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 537020640 is about 23173.7057891050. The cubic root of 537020640 is about 812.8248875086.

The spelling of 537020640 in words is "five hundred thirty-seven million, twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 28687 57374 86061 114748 143435 172122 229496 258183 286870 344244 372931 430305 458992 516366 573740 688488 745862 860610 917984 1032732 1118793 1147480 1290915 1376976 1491724 1721220 1864655 2065464 2237586 2294960 2581830 2753952 2983448 3356379 3442440 3729310 4130928 4475172 4589920 5163660 5593965 5966896 6712758 6884880 7458620 8261856 8950344 10327320 11187930 11933792 13425516 13769760 14917240 16781895 17900688 20654640 22375860 26851032 29834480 33563790 35801376 41309280 44751720 53702064 59668960 67127580 89503440 107404128 134255160 179006880 268510320 537020640