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7028075120 = 2451139720117
BaseRepresentation
bin1101000101110011…
…11110101001110000
3200010210120012121112
412202321332221300
5103343141400440
63121220012452
7336106436633
oct64271765160
920123505545
107028075120
112a8718a950
121441831128
13880085a41
144a9587c1a
152b2012965
hex1a2e7ea70

7028075120 has 80 divisors (see below), whose sum is σ = 17871543648. Its totient is φ = 2549099520.

The previous prime is 7028075107. The next prime is 7028075137. The reversal of 7028075120 is 215708207.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339302 + ... + 359418.

Almost surely, 27028075120 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 7028075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935771824).

7028075120 is an abundant number, since it is smaller than the sum of its proper divisors (10843468528).

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

7028075120 is a wasteful number, since it uses less digits than its factorization.

7028075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20538 (or 20532 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 7028075120 is about 83833.6156920361. The cubic root of 7028075120 is about 1915.4851890702.

The spelling of 7028075120 in words is "seven billion, twenty-eight million, seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 397 440 794 880 1588 1985 3176 3970 4367 6352 7940 8734 15880 17468 20117 21835 31760 34936 40234 43670 69872 80468 87340 100585 160936 174680 201170 221287 321872 349360 402340 442574 804680 885148 1106435 1609360 1770296 2212870 3540592 4425740 7986449 8851480 15972898 17702960 31945796 39932245 63891592 79864490 87850939 127783184 159728980 175701878 319457960 351403756 439254695 638915920 702807512 878509390 1405615024 1757018780 3514037560 7028075120