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66850740 = 2232511191777
BaseRepresentation
bin1111111100000…
…0111110110100
311122210100222100
43333000332310
5114103210430
610344502100
71441136055
oct377007664
9148710870
1066850740
113480aa50
121a47a930
1310b08268
148c4272c
155d07960
hex3fc0fb4

66850740 has 144 divisors (see below), whose sum is σ = 232989120. Its totient is φ = 15344640.

The previous prime is 66850739. The next prime is 66850747. The reversal of 66850740 is 4705866.

It is a happy number.

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 = 66850695 and 66850704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66850747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36732 + ... + 38508.

It is an arithmetic number, because the mean of its divisors is an integer number (1617980).

Almost surely, 266850740 is an apocalyptic number.

66850740 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 66850740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116494560).

66850740 is an abundant number, since it is smaller than the sum of its proper divisors (166138380).

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

66850740 is a wasteful number, since it uses less digits than its factorization.

66850740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66850740 is about 8176.2301826698. The cubic root of 66850740 is about 405.8529804906.

The spelling of 66850740 in words is "sixty-six million, eight hundred fifty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1777 1881 1980 2090 2508 3135 3420 3554 3762 4180 5331 6270 7108 7524 8885 9405 10662 12540 15993 17770 18810 19547 21324 26655 31986 33763 35540 37620 39094 53310 58641 63972 67526 78188 79965 97735 101289 106620 117282 135052 159930 168815 175923 195470 202578 234564 293205 303867 319860 337630 351846 371393 390940 405156 506445 586410 607734 675260 703692 742786 879615 1012890 1114179 1172820 1215468 1485572 1519335 1759230 1856965 2025780 2228358 3038670 3342537 3518460 3713930 4456716 5570895 6077340 6685074 7427860 11141790 13370148 16712685 22283580 33425370 66850740