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990921789 = 3311131731487
BaseRepresentation
bin111011000100000…
…100010000111101
32120001121001011000
4323010010100331
54012133444124
6242154520513
733361460544
oct7304042075
92501531130
10990921789
11469393230
12237a36139
1312a3ac070
149586715b
155bedb6c9
hex3b10443d

990921789 has 128 divisors (see below), whose sum is σ = 1888911360. Its totient is φ = 503884800.

The previous prime is 990921787. The next prime is 990921791. The reversal of 990921789 is 987129099.

It is an interprime number because it is at equal distance from previous prime (990921787) and next prime (990921791).

It is not a de Polignac number, because 990921789 - 21 = 990921787 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990921781) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2034504 + ... + 2034990.

It is an arithmetic number, because the mean of its divisors is an integer number (14757120).

Almost surely, 2990921789 is an apocalyptic number.

990921789 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

990921789 is a deficient number, since it is larger than the sum of its proper divisors (897989571).

990921789 is a wasteful number, since it uses less digits than its factorization.

990921789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The square root of 990921789 is about 31478.9102257368. The cubic root of 990921789 is about 996.9647261002.

The spelling of 990921789 in words is "nine hundred ninety million, nine hundred twenty-one thousand, seven hundred eighty-nine".

Divisors: 1 3 9 11 13 17 27 31 33 39 51 93 99 117 143 153 187 221 279 297 341 351 403 429 459 487 527 561 663 837 1023 1209 1287 1461 1581 1683 1989 2431 3069 3627 3861 4383 4433 4743 5049 5357 5797 5967 6331 6851 7293 8279 9207 10881 13149 13299 14229 15097 16071 17391 18993 20553 21879 24837 39897 45291 48213 52173 56979 61659 65637 69641 74511 75361 91069 107627 119691 135873 144639 156519 166067 170937 184977 196261 208923 223533 226083 256649 273207 322881 407619 498201 588783 626769 678249 769947 819621 968643 1183897 1494603 1766349 1880307 2034747 2158871 2309841 2458863 2823139 2905929 3336437 3551691 4483809 5299047 6476613 6929523 8469417 10009311 10655073 19429839 25408251 30027933 31965219 36700807 58289517 76224753 90083799 110102421 330307263 990921789