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3128170890 = 2351323615717
BaseRepresentation
bin1011101001110100…
…0001100110001010
322002000012112202010
42322131001212022
522401302432030
61234223320350
7140343004515
oct27235014612
98060175663
103128170890
1113658530a9
127337500b6
133ab10c5c0
1421964bd7c
151349606b0
hexba74198a

3128170890 has 128 divisors (see below), whose sum is σ = 8576451072. Its totient is φ = 724331520.

The previous prime is 3128170879. The next prime is 3128170907. The reversal of 3128170890 is 980718213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544312 + ... + 550028.

It is an arithmetic number, because the mean of its divisors is an integer number (67003524).

Almost surely, 23128170890 is an apocalyptic number.

3128170890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128170890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288225536).

3128170890 is an abundant number, since it is smaller than the sum of its proper divisors (5448280182).

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

3128170890 is a wasteful number, since it uses less digits than its factorization.

3128170890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 3128170890 is about 55930.0535490536. The cubic root of 3128170890 is about 1462.5031946749.

The spelling of 3128170890 in words is "three billion, one hundred twenty-eight million, one hundred seventy thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 61 65 69 78 115 122 130 138 183 195 230 299 305 345 366 390 598 610 690 793 897 915 1403 1495 1586 1794 1830 2379 2806 2990 3965 4209 4485 4758 5717 7015 7930 8418 8970 11434 11895 14030 17151 18239 21045 23790 28585 34302 36478 42090 54717 57170 74321 85755 91195 109434 131491 148642 171510 182390 222963 262982 273585 348737 371605 394473 445926 547170 657455 697474 743210 788946 1046211 1114815 1314910 1709383 1743685 1972365 2092422 2229630 3418766 3487370 3944730 4533581 5128149 5231055 8020951 8546915 9067162 10256298 10462110 13600743 16041902 17093830 22667905 24062853 25640745 27201486 40104755 45335810 48125706 51281490 68003715 80209510 104272363 120314265 136007430 208544726 240628530 312817089 521361815 625634178 1042723630 1564085445 3128170890