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1266051160 = 2351131101919
BaseRepresentation
bin100101101110110…
…0110100001011000
310021020022001200201
41023131212201120
510043102114120
6325343511544
743242154153
oct11335464130
93236261621
101266051160
1159a71aa80
122b3bb85b4
131723ac7ca
14c0204c9a
157623640a
hex4b766858

1266051160 has 128 divisors (see below), whose sum is σ = 3243110400. Its totient is φ = 440640000.

The previous prime is 1266051139. The next prime is 1266051179. The reversal of 1266051160 is 611506621.

It is a congruent number.

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, 1377181 + ... + 1378099.

It is an arithmetic number, because the mean of its divisors is an integer number (25336800).

Almost surely, 21266051160 is an apocalyptic number.

1266051160 is a gapful number since it is divisible by the number (10) 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 1266051160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621555200).

1266051160 is an abundant number, since it is smaller than the sum of its proper divisors (1977059240).

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

1266051160 is a wasteful number, since it uses less digits than its factorization.

1266051160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1266051160 is about 35581.6126672190. The cubic root of 1266051160 is about 1081.8085723190.

Adding to 1266051160 its reverse (611506621), we get a palindrome (1877557781).

It can be divided in two parts, 126605 and 1160, that added together give a triangular number (127765 = T505).

The spelling of 1266051160 in words is "one billion, two hundred sixty-six million, fifty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 101 110 124 155 202 220 248 310 341 404 440 505 620 682 808 919 1010 1111 1240 1364 1705 1838 2020 2222 2728 3131 3410 3676 4040 4444 4595 5555 6262 6820 7352 8888 9190 10109 11110 12524 13640 15655 18380 20218 22220 25048 28489 31310 34441 36760 40436 44440 50545 56978 62620 68882 80872 92819 101090 113956 125240 137764 142445 172205 185638 202180 227912 275528 284890 313379 344410 371276 404360 464095 569780 626758 688820 742552 928190 1021009 1139560 1253516 1377640 1566895 1856380 2042018 2507032 2877389 3133790 3712760 4084036 5105045 5754778 6267580 8168072 10210090 11509556 12535160 14386945 20420180 23019112 28773890 31651279 40840360 57547780 63302558 115095560 126605116 158256395 253210232 316512790 633025580 1266051160