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66423000 = 2335373163
BaseRepresentation
bin1111110101100…
…0100011011000
311121222122020010
43331120203120
5114001014000
610331401520
71434405030
oct375304330
9147878203
1066423000
1134548646
121a2b32a0
13109b8667
148b708c0
155c70d50
hex3f588d8

66423000 has 128 divisors (see below), whose sum is σ = 236920320. Its totient is φ = 15177600.

The previous prime is 66422999. The next prime is 66423001. The reversal of 66423000 is 32466.

It is an interprime number because it is at equal distance from previous prime (66422999) and next prime (66423001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66423001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19419 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (1850940).

Almost surely, 266423000 is an apocalyptic number.

66423000 is a gapful number since it is divisible by the number (60) 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 66423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118460160).

66423000 is an abundant number, since it is smaller than the sum of its proper divisors (170497320).

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

66423000 is a wasteful number, since it uses less digits than its factorization.

66423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 66423000 is about 8150.0306747889. The cubic root of 66423000 is about 404.9855199822.

Adding to 66423000 its reverse (32466), we get a palindrome (66455466).

The spelling of 66423000 in words is "sixty-six million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3163 3500 4200 5250 6326 7000 9489 10500 12652 15815 18978 21000 22141 25304 31630 37956 44282 47445 63260 66423 75912 79075 88564 94890 110705 126520 132846 158150 177128 189780 221410 237225 265692 316300 332115 379560 395375 442820 474450 531384 553525 632600 664230 790750 885640 948900 1107050 1186125 1328460 1581500 1660575 1897800 2214100 2372250 2656920 2767625 3163000 3321150 4428200 4744500 5535250 6642300 8302875 9489000 11070500 13284600 16605750 22141000 33211500 66423000