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66553380 = 22335373331
BaseRepresentation
bin1111110111100…
…0011000100100
311122020021002000
43331320120210
5114014202010
610334245300
71435460115
oct375703044
9148207060
1066553380
11346275a3
121a356830
1310a32aca
148ba620c
155c997c0
hex3f78624

66553380 has 96 divisors (see below), whose sum is σ = 212714880. Its totient is φ = 17262720.

The previous prime is 66553369. The next prime is 66553381. The reversal of 66553380 is 8335566.

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

It is not an unprimeable number, because it can be changed into a prime (66553381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18315 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (2215780).

Almost surely, 266553380 is an apocalyptic number.

66553380 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 66553380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106357440).

66553380 is an abundant number, since it is smaller than the sum of its proper divisors (146161500).

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

66553380 is a wasteful number, since it uses less digits than its factorization.

66553380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 66553380 is about 8158.0254964054. The cubic root of 66553380 is about 405.2503253549.

The spelling of 66553380 in words is "sixty-six million, five hundred fifty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3331 3996 4995 6660 6662 9990 9993 13324 16655 19980 19986 29979 33310 39972 49965 59958 66620 89937 99930 119916 123247 149895 179874 199860 246494 299790 359748 369741 449685 492988 599580 616235 739482 899370 1109223 1232470 1478964 1798740 1848705 2218446 2464940 3327669 3697410 4436892 5546115 6655338 7394820 11092230 13310676 16638345 22184460 33276690 66553380