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19555668 = 2235113159
BaseRepresentation
bin100101010011…
…0010101010100
31100210112100000
41022212111110
520001240133
61535051300
7325135416
oct112462524
940715300
1019555668
1110047510
126670b30
134089102
1428509b6
151ab4413
hex12a6554

19555668 has 144 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 5637600.

The previous prime is 19555663. The next prime is 19555709. The reversal of 19555668 is 86655591.

It is a happy number.

19555668 is a `hidden beast` number, since 1 + 95 + 556 + 6 + 8 = 666.

Its product of digits (324000) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19555663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331423 + ... + 331481.

It is an arithmetic number, because the mean of its divisors is an integer number (407680).

Almost surely, 219555668 is an apocalyptic number.

19555668 is a gapful number since it is divisible by the number (18) 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 19555668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

19555668 is an abundant number, since it is smaller than the sum of its proper divisors (39150252).

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

19555668 is a wasteful number, since it uses less digits than its factorization.

19555668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 19555668 is about 4422.1791008506. The cubic root of 19555668 is about 269.4165177545.

The spelling of 19555668 in words is "nineteen million, five hundred fifty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 59 62 66 81 93 99 108 118 124 132 162 177 186 198 236 243 279 297 324 341 354 372 396 486 531 558 594 649 682 708 837 891 972 1023 1062 1116 1188 1298 1364 1593 1674 1782 1829 1947 2046 2124 2511 2596 2673 3069 3186 3348 3564 3658 3894 4092 4779 5022 5346 5487 5841 6138 6372 7316 7533 7788 9207 9558 10044 10692 10974 11682 12276 14337 15066 16461 17523 18414 19116 20119 21948 23364 27621 28674 30132 32922 35046 36828 40238 49383 52569 55242 57348 60357 65844 70092 80476 82863 98766 105138 110484 120714 148149 157707 165726 181071 197532 210276 241428 296298 315414 331452 362142 444447 543213 592596 630828 724284 888894 1086426 1629639 1777788 2172852 3259278 4888917 6518556 9777834 19555668