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2098996980 = 223531259617
BaseRepresentation
bin111110100011100…
…0010011011110100
312102021122002112220
41331013002123310
513244320400410
6544140442340
7103005115503
oct17507023364
95367562486
102098996980
11987913553
124a6b493b0
13275b29462
1415caa883a
15c441a070
hex7d1c26f4

2098996980 has 144 divisors (see below), whose sum is σ = 6185833920. Its totient is φ = 531632640.

The previous prime is 2098996957. The next prime is 2098996993. The reversal of 2098996980 is 896998902.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3401632 + ... + 3402248.

It is an arithmetic number, because the mean of its divisors is an integer number (42957180).

Almost surely, 22098996980 is an apocalyptic number.

2098996980 is a gapful number since it is divisible by the number (20) 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 2098996980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092916960).

2098996980 is an abundant number, since it is smaller than the sum of its proper divisors (4086836940).

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

2098996980 is a wasteful number, since it uses less digits than its factorization.

2098996980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 60.

The square root of 2098996980 is about 45814.8117970597. The cubic root of 2098996980 is about 1280.3752521201.

The spelling of 2098996980 in words is "two billion, ninety-eight million, nine hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 59 60 62 93 118 124 155 177 186 236 295 310 354 372 465 590 617 620 708 885 930 961 1180 1234 1770 1829 1851 1860 1922 2468 2883 3085 3540 3658 3702 3844 4805 5487 5766 6170 7316 7404 9145 9255 9610 10974 11532 12340 14415 18290 18510 19127 19220 21948 27435 28830 36403 36580 37020 38254 54870 56699 57381 57660 72806 76508 95635 109209 109740 113398 114762 145612 170097 182015 191270 218418 226796 229524 283495 286905 340194 364030 382540 436836 546045 566990 573810 592937 680388 728060 850485 1092090 1128493 1133980 1147620 1185874 1700970 1778811 2184180 2256986 2371748 2964685 3385479 3401940 3557622 4513972 5642465 5929370 6770958 7115244 8894055 11284930 11858740 13541916 16927395 17788110 22569860 33854790 34983283 35576220 67709580 69966566 104949849 139933132 174916415 209899698 349832830 419799396 524749245 699665660 1049498490 2098996980