Search a number
-
+
66361880 = 23513177507
BaseRepresentation
bin1111110100100…
…1101000011000
311121212112101102
43331021220120
5113442040010
610330210532
71434031604
oct375115030
9147775342
1066361880
1134506732
121a283a48
13109968b0
148b56504
155c5cba5
hex3f49a18

66361880 has 64 divisors (see below), whose sum is σ = 170281440. Its totient is φ = 23058432.

The previous prime is 66361873. The next prime is 66361907. The reversal of 66361880 is 8816366.

66361880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5087 + ... + 12593.

Almost surely, 266361880 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 66361880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85140720).

66361880 is an abundant number, since it is smaller than the sum of its proper divisors (103919560).

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

66361880 is a wasteful number, since it uses less digits than its factorization.

66361880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 66361880 is about 8146.2801326741. The cubic root of 66361880 is about 404.8612642724.

The spelling of 66361880 in words is "sixty-six million, three hundred sixty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 7507 8840 15014 30028 37535 60056 75070 97591 127619 150140 195182 255238 300280 390364 487955 510476 638095 780728 975910 1020952 1276190 1659047 1951820 2552380 3318094 3903640 5104760 6636188 8295235 13272376 16590470 33180940 66361880