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66394440 = 23325726347
BaseRepresentation
bin1111110101000…
…1100101001000
311121221012001100
43331101211020
5113444110230
610331021400
71434225540
oct375214510
9147835040
1066394440
1134529142
121a29a860
13109a8668
148b64320
155c67660
hex3f51948

66394440 has 96 divisors (see below), whose sum is σ = 246617280. Its totient is φ = 15175296.

The previous prime is 66394429. The next prime is 66394483. The reversal of 66394440 is 4449366.

66394440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66394395 and 66394404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10654 + ... + 15693.

It is an arithmetic number, because the mean of its divisors is an integer number (2568930).

Almost surely, 266394440 is an apocalyptic number.

66394440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66394440 is an abundant number, since it is smaller than the sum of its proper divisors (180222840).

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

66394440 is a wasteful number, since it uses less digits than its factorization.

66394440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26371 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66394440 is about 8148.2783457611. The cubic root of 66394440 is about 404.9274675778.

The spelling of 66394440 in words is "sixty-six million, three hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 26347 52694 79041 105388 131735 158082 184429 210776 237123 263470 316164 368858 395205 474246 526940 553287 632328 737716 790410 922145 948492 1053880 1106574 1185615 1475432 1580820 1659861 1844290 1896984 2213148 2371230 2766435 3161640 3319722 3688580 4426296 4742460 5532870 6639444 7377160 8299305 9484920 11065740 13278888 16598610 22131480 33197220 66394440