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4697820240 = 243567463631
BaseRepresentation
bin1000110000000001…
…10000110001010000
3110010101202222212020
410120000300301100
534110120221430
62054054331440
7224262545631
oct43000606120
913111688766
104697820240
111aa0884973
12ab1359b80
1359b3798b9
14327cc1888
151c7666b10
hex118030c50

4697820240 has 160 divisors (see below), whose sum is σ = 14836002816. Its totient is φ = 1229437440.

The previous prime is 4697820227. The next prime is 4697820269. The reversal of 4697820240 is 420287964.

It is a junction number, because it is equal to n+sod(n) for n = 4697820192 and 4697820201.

It is a congruent 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, 7444725 + ... + 7445355.

Almost surely, 24697820240 is an apocalyptic number.

4697820240 is a gapful number since it is divisible by the number (40) 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 4697820240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418001408).

4697820240 is an abundant number, since it is smaller than the sum of its proper divisors (10138182576).

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

4697820240 is a wasteful number, since it uses less digits than its factorization.

4697820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4697820240 is about 68540.6466266550. The cubic root of 4697820240 is about 1674.8096898209.

The spelling of 4697820240 in words is "four billion, six hundred ninety-seven million, eight hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 463 536 631 670 804 926 1005 1072 1262 1340 1389 1608 1852 1893 2010 2315 2524 2680 2778 3155 3216 3704 3786 4020 4630 5048 5360 5556 6310 6945 7408 7572 8040 9260 9465 10096 11112 12620 13890 15144 16080 18520 18930 22224 25240 27780 30288 31021 37040 37860 42277 50480 55560 62042 75720 84554 93063 111120 124084 126831 151440 155105 169108 186126 211385 248168 253662 292153 310210 338216 372252 422770 465315 496336 507324 584306 620420 634155 676432 744504 845540 876459 930630 1014648 1168612 1240840 1268310 1460765 1489008 1691080 1752918 1861260 2029296 2337224 2481680 2536620 2921530 3382160 3505836 3722520 4382295 4674448 5073240 5843060 7011672 7445040 8764590 10146480 11686120 14023344 17529180 19574251 23372240 35058360 39148502 58722753 70116720 78297004 97871255 117445506 156594008 195742510 234891012 293613765 313188016 391485020 469782024 587227530 782970040 939564048 1174455060 1565940080 2348910120 4697820240