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1290989352 = 2331919314669
BaseRepresentation
bin100110011110010…
…1110111100101000
310022222020001110110
41030330232330220
510120443124402
6332034214320
743664141232
oct11474567450
93288201413
101290989352
11602803454
123004243a0
13177601833
14c3657252
157851056c
hex4cf2ef28

1290989352 has 64 divisors (see below), whose sum is σ = 3415176000. Its totient is φ = 405540864.

The previous prime is 1290989341. The next prime is 1290989353. The reversal of 1290989352 is 2539890921.

It is not an unprimeable number, because it can be changed into a prime (1290989353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80674 + ... + 95342.

It is an arithmetic number, because the mean of its divisors is an integer number (53362125).

Almost surely, 21290989352 is an apocalyptic number.

1290989352 is a gapful number since it is divisible by the number (12) 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 1290989352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707588000).

1290989352 is an abundant number, since it is smaller than the sum of its proper divisors (2124186648).

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

1290989352 is a wasteful number, since it uses less digits than its factorization.

1290989352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1290989352 is about 35930.3402711413. The cubic root of 1290989352 is about 1088.8654558673.

The spelling of 1290989352 in words is "one billion, two hundred ninety million, nine hundred eighty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 193 228 386 456 579 772 1158 1544 2316 3667 4632 7334 11001 14668 14669 22002 29336 29338 44004 44007 58676 88008 88014 117352 176028 278711 352056 557422 836133 1114844 1672266 2229688 2831117 3344532 5662234 6689064 8493351 11324468 16986702 22648936 33973404 53791223 67946808 107582446 161373669 215164892 322747338 430329784 645494676 1290989352