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1891089072 = 243323296563
BaseRepresentation
bin111000010110111…
…1011101010110000
311212210102021112000
41300231323222300
512333104322242
6511352334000
764601664135
oct16055735260
94783367460
101891089072
1189051a234
124493a4300
13241a33922
1413d22858c
15b104ca4c
hex70b7bab0

1891089072 has 160 divisors (see below), whose sum is σ = 5860339200. Its totient is φ = 582075648.

The previous prime is 1891089037. The next prime is 1891089091. The reversal of 1891089072 is 2709801981.

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 31 ways as a sum of consecutive naturals, for example, 284863 + ... + 291425.

It is an arithmetic number, because the mean of its divisors is an integer number (36627120).

Almost surely, 21891089072 is an apocalyptic number.

1891089072 is a gapful number since it is divisible by the number (12) 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 1891089072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930169600).

1891089072 is an abundant number, since it is smaller than the sum of its proper divisors (3969250128).

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

1891089072 is a wasteful number, since it uses less digits than its factorization.

1891089072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1891089072 is about 43486.6539526784. The cubic root of 1891089072 is about 1236.6230245769.

The spelling of 1891089072 in words is "one billion, eight hundred ninety-one million, eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 29 36 46 48 54 58 69 72 87 92 108 116 138 144 174 184 207 216 232 261 276 348 368 414 432 464 522 552 621 667 696 783 828 1044 1104 1242 1334 1392 1566 1656 2001 2088 2484 2668 3132 3312 4002 4176 4968 5336 6003 6264 6563 8004 9936 10672 12006 12528 13126 16008 18009 19689 24012 26252 32016 36018 39378 48024 52504 59067 72036 78756 96048 105008 118134 144072 150949 157512 177201 190327 236268 288144 301898 315024 354402 380654 452847 472536 570981 603796 708804 761308 905694 945072 1141962 1207592 1358541 1417608 1522616 1712943 1811388 2283924 2415184 2717082 2835216 3045232 3425886 3622776 4075623 4377521 4567848 5138829 5434164 6851772 7245552 8151246 8755042 9135696 10277658 10868328 13132563 13703544 16302492 17510084 20555316 21736656 26265126 27407088 32604984 35020168 39397689 41110632 52530252 65209968 70040336 78795378 82221264 105060504 118193067 157590756 210121008 236386134 315181512 472772268 630363024 945544536 1891089072