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1997876720 = 245717209861
BaseRepresentation
bin111011100010101…
…0010110111110000
312011020100122122002
41313011102313300
513042424023340
6530125233132
7100336446320
oct16705226760
95136318562
101997876720
11935827394
124791027a8
1325abb2a98
1414d4a5280
15ba5e3715
hex77152df0

1997876720 has 80 divisors (see below), whose sum is σ = 5620943808. Its totient is φ = 644689920.

The previous prime is 1997876701. The next prime is 1997876723. The reversal of 1997876720 is 276787991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×19978767202 = 7983022776635916800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997876723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95411 + ... + 114450.

Almost surely, 21997876720 is an apocalyptic number.

1997876720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1997876720 is an abundant number, since it is smaller than the sum of its proper divisors (3623067088).

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

1997876720 is a wasteful number, since it uses less digits than its factorization.

1997876720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209898 (or 209892 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 56.

The square root of 1997876720 is about 44697.6142540069. The cubic root of 1997876720 is about 1259.4750311594.

The spelling of 1997876720 in words is "one billion, nine hundred ninety-seven million, eight hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 209861 419722 839444 1049305 1469027 1678888 2098610 2938054 3357776 3567637 4197220 5876108 7135274 7345135 8394440 11752216 14270548 14690270 16788880 17838185 23504432 24973459 28541096 29380540 35676370 49946918 57082192 58761080 71352740 99893836 117522160 124867295 142705480 199787672 249734590 285410960 399575344 499469180 998938360 1997876720