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266530100 = 225219151929
BaseRepresentation
bin11111110001011…
…10110100110100
3200120112010120012
433320232310310
51021212430400
642240355352
76414316454
oct1770566464
9616463505
10266530100
111274a4011
1275315b58
13432ac625
142757dd64
15185ebd35
hexfe2ed34

266530100 has 72 divisors (see below), whose sum is σ = 613502400. Its totient is φ = 100224000.

The previous prime is 266530093. The next prime is 266530109. The reversal of 266530100 is 1035662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266530109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286436 + ... + 287364.

Almost surely, 2266530100 is an apocalyptic number.

266530100 is a gapful number since it is divisible by the number (20) 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 266530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306751200).

266530100 is an abundant number, since it is smaller than the sum of its proper divisors (346972300).

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

266530100 is a wasteful number, since it uses less digits than its factorization.

266530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 266530100 is about 16325.7495999418. The cubic root of 266530100 is about 643.5496929189.

Adding to 266530100 its reverse (1035662), we get a palindrome (267565762).

The spelling of 266530100 in words is "two hundred sixty-six million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 151 190 302 380 475 604 755 929 950 1510 1858 1900 2869 3020 3716 3775 4645 5738 7550 9290 11476 14345 15100 17651 18580 23225 28690 35302 46450 57380 70604 71725 88255 92900 140279 143450 176510 280558 286900 353020 441275 561116 701395 882550 1402790 1765100 2665301 2805580 3506975 5330602 7013950 10661204 13326505 14027900 26653010 53306020 66632525 133265050 266530100