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1999079680 = 28513196323
BaseRepresentation
bin111011100100111…
…1000100100000000
312011022121202210011
41313021320210000
513043231022210
6530211114304
7100352616433
oct16711704400
95138552704
101999079680
11936479174
124795a2994
1325b2144b0
1414d6d981a
15ba77ed8a
hex77278900

1999079680 has 144 divisors (see below), whose sum is σ = 5429027520. Its totient is φ = 699162624.

The previous prime is 1999079611. The next prime is 1999079683. The reversal of 1999079680 is 869709991.

It is not an unprimeable number, because it can be changed into a prime (1999079683) 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 15 ways as a sum of consecutive naturals, for example, 312999 + ... + 319321.

It is an arithmetic number, because the mean of its divisors is an integer number (37701580).

Almost surely, 21999079680 is an apocalyptic number.

1999079680 is a gapful number since it is divisible by the number (10) 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 1999079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714513760).

1999079680 is an abundant number, since it is smaller than the sum of its proper divisors (3429947840).

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

1999079680 is a wasteful number, since it uses less digits than its factorization.

1999079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 58.

The square root of 1999079680 is about 44711.0688756151. The cubic root of 1999079680 is about 1259.7277651544.

The spelling of 1999079680 in words is "one billion, nine hundred ninety-nine million, seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 256 260 304 320 380 416 494 520 608 640 760 832 988 1040 1216 1235 1280 1520 1664 1976 2080 2432 2470 3040 3328 3952 4160 4864 4940 6080 6323 7904 8320 9880 12160 12646 15808 16640 19760 24320 25292 31615 31616 39520 50584 63230 63232 79040 82199 101168 120137 126460 158080 164398 202336 240274 252920 316160 328796 404672 410995 480548 505840 600685 657592 809344 821990 961096 1011680 1201370 1315184 1561781 1618688 1643980 1922192 2023360 2402740 2630368 3123562 3287960 3844384 4046720 4805480 5260736 6247124 6575920 7688768 7808905 8093440 9610960 10521472 12494248 13151840 15377536 15617810 19221920 21042944 24988496 26303680 30755072 31235620 38443840 49976992 52607360 62471240 76887680 99953984 105214720 124942480 153775360 199907968 249884960 399815936 499769920 999539840 1999079680