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8028455120 = 245729217047
BaseRepresentation
bin1110111101000100…
…01000000011010000
3202201111221202222122
413132202020003100
5112420241030440
63404353353412
7402644512460
oct73642100320
922644852878
108028455120
11344a943184
121680868868
139ac3c6b7a
14562393ba0
1531ec6b7b5
hex1de8880d0

8028455120 has 120 divisors (see below), whose sum is σ = 22095026304. Its totient is φ = 2657539584.

The previous prime is 8028455117. The next prime is 8028455167. The reversal of 8028455120 is 215548208.

It is a happy number.

It is a super-2 number, since 2×80284551202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462437 + ... + 479483.

Almost surely, 28028455120 is an apocalyptic number.

8028455120 is a gapful number since it is divisible by the number (80) 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 8028455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047513152).

8028455120 is an abundant number, since it is smaller than the sum of its proper divisors (14066571184).

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

8028455120 is a wasteful number, since it uses less digits than its factorization.

8028455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17125 (or 17090 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 8028455120 is about 89601.6468598652. The cubic root of 8028455120 is about 2002.3684541054.

The spelling of 8028455120 in words is "eight billion, twenty-eight million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 841 1015 1160 1624 1682 2030 2320 3248 3364 4060 4205 5887 6728 8120 8410 11774 13456 16240 16820 17047 23548 29435 33640 34094 47096 58870 67280 68188 85235 94192 117740 119329 136376 170470 235480 238658 272752 340940 470960 477316 494363 596645 681880 954632 988726 1193290 1363760 1909264 1977452 2386580 2471815 3460541 3954904 4773160 4943630 6921082 7909808 9546320 9887260 13842164 14336527 17302705 19774520 27684328 28673054 34605410 39549040 55368656 57346108 69210820 71682635 100355689 114692216 138421640 143365270 200711378 229384432 276843280 286730540 401422756 501778445 573461080 802845512 1003556890 1146922160 1605691024 2007113780 4014227560 8028455120