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1668900720 = 2435191392633
BaseRepresentation
bin110001101111001…
…0110011101110000
311022022022221101210
41203132112131300
511404214310340
6433334200120
756233264524
oct14336263560
94268287353
101668900720
117870618a3
123a6ab3040
132079ab126
1411b90bd84
159b7ae180
hex63796770

1668900720 has 160 divisors (see below), whose sum is σ = 5487148800. Its totient is φ = 418424832.

The previous prime is 1668900719. The next prime is 1668900731. The reversal of 1668900720 is 270098661.

It is a super-2 number, since 2×16689007202 = 5570459226433036800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 632524 + ... + 635156.

It is an arithmetic number, because the mean of its divisors is an integer number (34294680).

Almost surely, 21668900720 is an apocalyptic number.

1668900720 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 1668900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743574400).

1668900720 is an abundant number, since it is smaller than the sum of its proper divisors (3818248080).

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

1668900720 is a wasteful number, since it uses less digits than its factorization.

1668900720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1668900720 is about 40852.1813371085. The cubic root of 1668900720 is about 1186.1606175966.

The spelling of 1668900720 in words is "one billion, six hundred sixty-eight million, nine hundred thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 139 152 190 228 240 278 285 304 380 417 456 556 570 695 760 834 912 1112 1140 1390 1520 1668 2085 2224 2280 2633 2641 2780 3336 4170 4560 5266 5282 5560 6672 7899 7923 8340 10532 10564 11120 13165 13205 15798 15846 16680 21064 21128 26330 26410 31596 31692 33360 39495 39615 42128 42256 50027 52660 52820 63192 63384 78990 79230 100054 105320 105640 126384 126768 150081 157980 158460 200108 210640 211280 250135 300162 315960 316920 365987 400216 500270 600324 631920 633840 731974 750405 800432 1000540 1097961 1200648 1463948 1500810 1829935 2001080 2195922 2401296 2927896 3001620 3659870 4002160 4391844 5489805 5855792 6003240 6953753 7319740 8783688 10979610 12006480 13907506 14639480 17567376 20861259 21959220 27815012 29278960 34768765 41722518 43918440 55630024 69537530 83445036 87836880 104306295 111260048 139075060 166890072 208612590 278150120 333780144 417225180 556300240 834450360 1668900720