Search a number
-
+
66698240 = 210571861
BaseRepresentation
bin1111111001101…
…1110000000000
311122111121210012
43332123300000
5114033320430
610341324052
71436632340
oct376336000
9148447705
1066698240
1134716414
121a406628
1310a83a1b
148c02d20
155cc7695
hex3f9bc00

66698240 has 88 divisors (see below), whose sum is σ = 182952672. Its totient is φ = 22855680.

The previous prime is 66698209. The next prime is 66698243. The reversal of 66698240 is 4289666.

66698240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66698243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34910 + ... + 36770.

Almost surely, 266698240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476336).

66698240 is an abundant number, since it is smaller than the sum of its proper divisors (116254432).

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

66698240 is a wasteful number, since it uses less digits than its factorization.

66698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 66698240 is about 8166.8990443130. The cubic root of 66698240 is about 405.5441347326.

The spelling of 66698240 in words is "sixty-six million, six hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 1861 2240 2560 3584 3722 4480 5120 7168 7444 8960 9305 13027 14888 17920 18610 26054 29776 35840 37220 52108 59552 65135 74440 104216 119104 130270 148880 208432 238208 260540 297760 416864 476416 521080 595520 833728 952832 1042160 1191040 1667456 1905664 2084320 2382080 3334912 4168640 4764160 6669824 8337280 9528320 13339648 16674560 33349120 66698240