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1668720144 = 2437131920107
BaseRepresentation
bin110001101110110…
…1010011000010000
311022021222202200210
41203131222120100
511404143021034
6433330244120
756231613210
oct14335523020
94267882623
101668720144
11786a49163
123a6a26640
13207946b90
1411b8a2240
159b7758e9
hex6376a610

1668720144 has 160 divisors (see below), whose sum is σ = 5585198080. Its totient is φ = 416918016.

The previous prime is 1668720133. The next prime is 1668720181. The reversal of 1668720144 is 4410278661.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72939 + ... + 93045.

It is an arithmetic number, because the mean of its divisors is an integer number (34907488).

Almost surely, 21668720144 is an apocalyptic number.

1668720144 is a gapful number since it is divisible by the number (14) 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 1668720144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792599040).

1668720144 is an abundant number, since it is smaller than the sum of its proper divisors (3916477936).

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

1668720144 is a wasteful number, since it uses less digits than its factorization.

1668720144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20157 (or 20151 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1668720144 is about 40849.9711627805. The cubic root of 1668720144 is about 1186.1178349707.

The spelling of 1668720144 in words is "one billion, six hundred sixty-eight million, seven hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 20107 20748 27664 40214 41496 60321 80428 82992 120642 140749 160856 241284 261391 281498 321712 382033 422247 482568 522782 562996 764066 784173 844494 965136 1045564 1125992 1146099 1528132 1568346 1688988 1829737 2091128 2251984 2292198 2674231 3056264 3136692 3377976 3659474 4182256 4584396 4966429 5348462 5489211 6112528 6273384 6755952 7318948 8022693 9168792 9932858 10696924 10978422 12546768 14637896 14899287 16045386 18337584 19865716 21393848 21956844 29275792 29798574 32090772 34765003 39731432 42787696 43913688 59597148 64181544 69530006 79462864 87827376 104295009 119194296 128363088 139060012 208590018 238388592 278120024 417180036 556240048 834360072 1668720144