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534124640 = 2557592137
BaseRepresentation
bin11111110101100…
…001100001100000
31101020001100021002
4133311201201200
52043213442030
6125000051132
716143661460
oct3765414140
91336040232
10534124640
11254554825
1212aa63aa8
13868725aa
1450d19ba0
1531d59245
hex1fd61860

534124640 has 144 divisors (see below), whose sum is σ = 1477701792. Its totient is φ = 178710528.

The previous prime is 534124571. The next prime is 534124651. The reversal of 534124640 is 46421435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3898652 + ... + 3898788.

It is an arithmetic number, because the mean of its divisors is an integer number (10261818).

Almost surely, 2534124640 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 534124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738850896).

534124640 is an abundant number, since it is smaller than the sum of its proper divisors (943577152).

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

534124640 is a wasteful number, since it uses less digits than its factorization.

534124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 534124640 is about 23111.1367093875. The cubic root of 534124640 is about 811.3611417976.

The spelling of 534124640 in words is "five hundred thirty-four million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 137 140 160 224 236 274 280 295 413 472 548 560 590 685 826 944 959 1096 1120 1180 1370 1652 1888 1918 2065 2192 2360 2740 3304 3481 3836 4130 4384 4720 4795 5480 6608 6962 7672 8083 8260 9440 9590 10960 13216 13924 15344 16166 16520 17405 19180 21920 24367 27848 30688 32332 33040 34810 38360 40415 48734 55696 56581 64664 66080 69620 76720 80830 97468 111392 113162 121835 129328 139240 153440 161660 194936 226324 243670 258656 278480 282905 323320 389872 452648 476897 487340 556960 565810 646640 779744 905296 953794 974680 1131620 1293280 1810592 1907588 1949360 2263240 2384485 3338279 3815176 3898720 4526480 4768970 6676558 7630352 9052960 9537940 13353116 15260704 16691395 19075880 26706232 33382790 38151760 53412464 66765580 76303520 106824928 133531160 267062320 534124640