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266421440 = 26531107251
BaseRepresentation
bin11111110000101…
…00010011000000
3200120022121111202
433320110103000
51021200441230
642234200332
76413354615
oct1770242300
9616277452
10266421440
1112742a40a
12752830a8
134327202c
142755250c
15185c9a45
hexfe144c0

266421440 has 112 divisors (see below), whose sum is σ = 663634944. Its totient is φ = 101760000.

The previous prime is 266421437. The next prime is 266421481. The reversal of 266421440 is 44124662.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061315 + ... + 1061565.

It is an arithmetic number, because the mean of its divisors is an integer number (5925312).

Almost surely, 2266421440 is an apocalyptic number.

266421440 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 266421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331817472).

266421440 is an abundant number, since it is smaller than the sum of its proper divisors (397213504).

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

266421440 is a wasteful number, since it uses less digits than its factorization.

266421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 266421440 is about 16322.4213889974. The cubic root of 266421440 is about 643.4622261066.

It can be divided in two parts, 26642 and 1440, that added together give a palindrome (28082).

The spelling of 266421440 in words is "two hundred sixty-six million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 107 124 155 160 214 248 251 310 320 428 496 502 535 620 856 992 1004 1070 1240 1255 1712 1984 2008 2140 2480 2510 3317 3424 4016 4280 4960 5020 6634 6848 7781 8032 8560 9920 10040 13268 15562 16064 16585 17120 20080 26536 26857 31124 33170 34240 38905 40160 53072 53714 62248 66340 77810 80320 106144 107428 124496 132680 134285 155620 212288 214856 248992 265360 268570 311240 429712 497984 530720 537140 622480 832567 859424 1061440 1074280 1244960 1665134 1718848 2148560 2489920 3330268 4162835 4297120 6660536 8325670 8594240 13321072 16651340 26642144 33302680 53284288 66605360 133210720 266421440