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266505540 = 223571973221
BaseRepresentation
bin11111110001010…
…00110101000100
3200120110212212120
433320220311010
51021211134130
642240045540
76414155040
oct1770506504
9616425776
10266505540
11127487614
12753038b0
13432a13b2
1427575020
15185e4910
hexfe28d44

266505540 has 96 divisors (see below), whose sum is σ = 857412864. Its totient is φ = 60587520.

The previous prime is 266505509. The next prime is 266505559. The reversal of 266505540 is 45505662.

It is a happy number.

266505540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81130 + ... + 84350.

It is an arithmetic number, because the mean of its divisors is an integer number (8931384).

Almost surely, 2266505540 is an apocalyptic number.

266505540 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 266505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428706432).

266505540 is an abundant number, since it is smaller than the sum of its proper divisors (590907324).

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

266505540 is a wasteful number, since it uses less digits than its factorization.

266505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 266505540 is about 16324.9973966307. The cubic root of 266505540 is about 643.5299252129.

The spelling of 266505540 in words is "two hundred sixty-six million, five hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 788 985 1182 1379 1970 2364 2758 2955 3221 3940 4137 5516 5910 6442 6895 8274 9663 11820 12884 13790 16105 16548 19326 20685 22547 27580 32210 38652 41370 45094 48315 64420 67641 82740 90188 96630 112735 135282 193260 225470 270564 338205 450940 634537 676410 1269074 1352820 1903611 2538148 3172685 3807222 4441759 6345370 7614444 8883518 9518055 12690740 13325277 17767036 19036110 22208795 26650554 38072220 44417590 53301108 66626385 88835180 133252770 266505540