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1290998968 = 2373137101199
BaseRepresentation
bin100110011110011…
…0001010010111000
310022222020112122121
41030330301102320
510120443431333
6332034331024
743664211250
oct11474612270
93288215577
101290998968
1160280a6a6
12300429a74
1317760601c
14c365a960
157851332d
hex4cf314b8

1290998968 has 128 divisors (see below), whose sum is σ = 2976768000. Its totient is φ = 513216000.

The previous prime is 1290998927. The next prime is 1290998983. The reversal of 1290998968 is 8698990921.

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, 6487333 + ... + 6487531.

It is an arithmetic number, because the mean of its divisors is an integer number (23256000).

Almost surely, 21290998968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290998968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488384000).

1290998968 is an abundant number, since it is smaller than the sum of its proper divisors (1685769032).

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

1290998968 is a wasteful number, since it uses less digits than its factorization.

1290998968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 61.

The square root of 1290998968 is about 35930.4740853777. The cubic root of 1290998968 is about 1088.8681593505.

The spelling of 1290998968 in words is "one billion, two hundred ninety million, nine hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 101 124 148 199 202 217 248 259 296 398 404 434 518 707 796 808 868 1036 1147 1393 1414 1592 1736 2072 2294 2786 2828 3131 3737 4588 5572 5656 6169 6262 7363 7474 8029 9176 11144 12338 12524 14726 14948 16058 20099 21917 24676 25048 26159 29452 29896 32116 40198 43183 43834 49352 51541 52318 58904 64232 80396 86366 87668 103082 104636 115847 140693 160792 172732 175336 206164 209272 228253 231694 281386 345464 412328 456506 463388 562772 623069 743663 810929 913012 926776 1125544 1246138 1487326 1597771 1621858 1826024 2492276 2974652 3195542 3243716 4361483 4984552 5205641 5949304 6391084 6487432 8722966 10411282 12782168 17445932 20822564 23053553 34891864 41645128 46107106 92214212 161374871 184428424 322749742 645499484 1290998968