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1668730470 = 23511291271373
BaseRepresentation
bin110001101110110…
…1100111001100110
311022022000021212020
41203131230321212
511404143333340
6433330404010
756231655261
oct14335547146
94268007766
101668730470
11786a559a0
123a6a30606
1320794b7a4
1411b8a5cd8
159b7789d0
hex6376ce66

1668730470 has 128 divisors (see below), whose sum is σ = 4558602240. Its totient is φ = 387233280.

The previous prime is 1668730429. The next prime is 1668730487. The reversal of 1668730470 is 740378661.

It is a super-2 number, since 2×16687304702 = 5569322763012841800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214704 + ... + 1216076.

It is an arithmetic number, because the mean of its divisors is an integer number (35614080).

Almost surely, 21668730470 is an apocalyptic number.

1668730470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668730470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279301120).

1668730470 is an abundant number, since it is smaller than the sum of its proper divisors (2889871770).

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

1668730470 is a wasteful number, since it uses less digits than its factorization.

1668730470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 1668730470 is about 40850.0975519031. The cubic root of 1668730470 is about 1186.1202815218.

The spelling of 1668730470 in words is "one billion, six hundred sixty-eight million, seven hundred thirty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 127 145 165 174 254 290 319 330 381 435 635 638 762 870 957 1270 1373 1397 1595 1905 1914 2746 2794 3190 3683 3810 4119 4191 4785 6865 6985 7366 8238 8382 9570 11049 13730 13970 15103 18415 20595 20955 22098 30206 36830 39817 40513 41190 41910 45309 55245 75515 79634 81026 90618 110490 119451 121539 151030 174371 199085 202565 226545 238902 243078 348742 398170 405130 437987 453090 523113 597255 607695 871855 875974 1046226 1194510 1215390 1313961 1743710 1918081 2189935 2615565 2627922 3836162 4379870 5056759 5231130 5754243 6569805 9590405 10113518 11508486 13139610 15170277 19180810 25283795 28771215 30340554 50567590 55624349 57542430 75851385 111248698 151702770 166873047 278121745 333746094 556243490 834365235 1668730470