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1290960072 = 23337278221
BaseRepresentation
bin100110011110010…
…0111110011001000
310022222011120022000
41030330213303020
510120441210242
6332033431000
743663656663
oct11474476310
93288146260
101290960072
11602793456
1230040b460
131775c13cc
14c364a6da
1578506a4c
hex4cf27cc8

1290960072 has 64 divisors (see below), whose sum is σ = 3591369600. Its totient is φ = 429675840.

The previous prime is 1290960043. The next prime is 1290960089. The reversal of 1290960072 is 2700690921.

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

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, 152922 + ... + 161142.

It is an arithmetic number, because the mean of its divisors is an integer number (56115150).

Almost surely, 21290960072 is an apocalyptic number.

1290960072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1290960072 is an abundant number, since it is smaller than the sum of its proper divisors (2300409528).

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

1290960072 is a wasteful number, since it uses less digits than its factorization.

1290960072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1290960072 is about 35929.9328137418. The cubic root of 1290960072 is about 1088.8572238806.

The spelling of 1290960072 in words is "one billion, two hundred ninety million, nine hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 727 1454 2181 2908 4362 5816 6543 8221 8724 13086 16442 17448 19629 24663 26172 32884 39258 49326 52344 65768 73989 78516 98652 147978 157032 197304 221967 295956 443934 591912 887868 1775736 5976667 11953334 17930001 23906668 35860002 47813336 53790003 71720004 107580006 143440008 161370009 215160012 322740018 430320024 645480036 1290960072