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3028807080 = 233451371909
BaseRepresentation
bin1011010010000111…
…1110110110101000
321211002020100020000
42310201332312220
522200333311310
61220313503000
7135025302225
oct26441766650
97732210200
103028807080
111314756652
12706411a60
1339365c550
1420a38494c
1512ad844c0
hexb487eda8

3028807080 has 160 divisors (see below), whose sum is σ = 10963398600. Its totient is φ = 745542144.

The previous prime is 3028807079. The next prime is 3028807109. The reversal of 3028807080 is 807088203.

It can be written as a sum of positive squares in 4 ways, for example, as 1959124644 + 1069682436 = 44262^2 + 32706^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6166 + ... + 78074.

Almost surely, 23028807080 is an apocalyptic number.

3028807080 is a gapful number since it is divisible by the number (30) 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 3028807080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481699300).

3028807080 is an abundant number, since it is smaller than the sum of its proper divisors (7934591520).

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

3028807080 is a wasteful number, since it uses less digits than its factorization.

3028807080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71945 (or 71932 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3028807080 is about 55034.5989355787. The cubic root of 3028807080 is about 1446.8512059274.

The spelling of 3028807080 in words is "three billion, twenty-eight million, eight hundred seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 71909 143818 215727 287636 359545 431454 575272 647181 719090 862908 934817 1078635 1294362 1438180 1725816 1869634 1941543 2157270 2588724 2804451 2876360 3235905 3739268 3883086 4314540 4674085 5177448 5608902 5824629 6471810 7478536 7766172 8413353 8629080 9348170 9707715 11217804 11649258 12943620 14022255 15532344 16826706 18696340 19415430 22435608 23298516 25240059 25887240 28044510 29123145 33653412 37392680 38830860 42066765 46597032 50480118 56089020 58246290 67306824 75720177 77661720 84133530 100960236 112178040 116492580 126200295 151440354 168267060 201920472 232985160 252400590 302880708 336534120 378600885 504801180 605761416 757201770 1009602360 1514403540 3028807080