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66004920 = 2332547283
BaseRepresentation
bin1111101111001…
…0011110111000
311121012101201200
43323302132320
5113344124140
610314414200
71431014112
oct373623670
9147171650
1066004920
1134292523
121a131360
13108a0287
148aa23b2
155bdc030
hex3ef27b8

66004920 has 144 divisors (see below), whose sum is σ = 221817960. Its totient is φ = 17019264.

The previous prime is 66004901. The next prime is 66004949. The reversal of 66004920 is 2940066.

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 35 ways as a sum of consecutive naturals, for example, 795199 + ... + 795281.

Almost surely, 266004920 is an apocalyptic number.

66004920 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 66004920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110908980).

66004920 is an abundant number, since it is smaller than the sum of its proper divisors (155813040).

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

66004920 is a wasteful number, since it uses less digits than its factorization.

66004920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66004920 is about 8124.3412040608. The cubic root of 66004920 is about 404.1340436818.

Adding to 66004920 its reverse (2940066), we get a palindrome (68944986).

The spelling of 66004920 in words is "sixty-six million, four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 83 90 94 120 141 166 180 188 235 249 282 332 360 376 415 423 470 498 564 664 705 747 830 846 940 996 1128 1245 1410 1494 1660 1692 1880 1992 2115 2209 2490 2820 2988 3320 3384 3735 3901 4230 4418 4980 5640 5976 6627 7470 7802 8460 8836 9960 11045 11703 13254 14940 15604 16920 17672 19505 19881 22090 23406 26508 29880 31208 33135 35109 39010 39762 44180 46812 53016 58515 66270 70218 78020 79524 88360 93624 99405 117030 132540 140436 156040 159048 175545 183347 198810 234060 265080 280872 351090 366694 397620 468120 550041 702180 733388 795240 916735 1100082 1404360 1466776 1650123 1833470 2200164 2750205 3300246 3666940 4400328 5500410 6600492 7333880 8250615 11000820 13200984 16501230 22001640 33002460 66004920