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66726240 = 2535722837
BaseRepresentation
bin1111111010001…
…0100101100000
311122120001012020
43332202211200
5114040214430
610342101440
71440110100
oct376424540
9148501166
1066726240
1134735459
121a41a880
1310a936a9
148c0d200
155cd0b10
hex3fa2960

66726240 has 144 divisors (see below), whose sum is σ = 244590192. Its totient is φ = 15246336.

The previous prime is 66726221. The next prime is 66726259. The reversal of 66726240 is 4262766.

66726240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66726221) and next prime (66726259).

It is a super-2 number, since 2×667262402 = 8904782209075200, which contains 22 as substring.

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, 22102 + ... + 24938.

It is an arithmetic number, because the mean of its divisors is an integer number (1698543).

Almost surely, 266726240 is an apocalyptic number.

66726240 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 66726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122295096).

66726240 is an abundant number, since it is smaller than the sum of its proper divisors (177863952).

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

66726240 is a wasteful number, since it uses less digits than its factorization.

66726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 66726240 is about 8168.6131013777. The cubic root of 66726240 is about 405.6008760957.

It can be divided in two parts, 66726 and 240, that added together give a palindrome (66966).

The spelling of 66726240 in words is "sixty-six million, seven hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2837 2940 3360 3920 4704 5674 5880 7840 8511 11348 11760 14185 17022 19859 22696 23520 28370 34044 39718 42555 45392 56740 59577 68088 79436 85110 90784 99295 113480 119154 136176 139013 158872 170220 198590 226960 238308 272352 278026 297885 317744 340440 397180 417039 453920 476616 556052 595770 635488 680880 695065 794360 834078 953232 1112104 1191540 1361760 1390130 1588720 1668156 1906464 2085195 2224208 2383080 2780260 3177440 3336312 4170390 4448416 4766160 5560520 6672624 8340780 9532320 11121040 13345248 16681560 22242080 33363120 66726240