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1296479272 = 2311233120663
BaseRepresentation
bin100110101000110…
…1011010000101000
310100100112222012211
41031101223100220
510123344314042
6332352014504
744061614644
oct11521532050
93310488184
101296479272
11605913080
12302231434
131787a45ca
14c4285c24
1578c47017
hex4d46b428

1296479272 has 64 divisors (see below), whose sum is σ = 2856591360. Its totient is φ = 545476800.

The previous prime is 1296479267. The next prime is 1296479273. The reversal of 1296479272 is 2729746921.

It is not an unprimeable number, because it can be changed into a prime (1296479273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52413 + ... + 73075.

It is an arithmetic number, because the mean of its divisors is an integer number (44634240).

Almost surely, 21296479272 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 1296479272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428295680).

1296479272 is an abundant number, since it is smaller than the sum of its proper divisors (1560112088).

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

1296479272 is a wasteful number, since it uses less digits than its factorization.

1296479272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20734 (or 20730 counting only the distinct ones).

The product of its digits is 762048, while the sum is 49.

The square root of 1296479272 is about 36006.6559402564. The cubic root of 1296479272 is about 1090.4067365153.

The spelling of 1296479272 in words is "one billion, two hundred ninety-six million, four hundred seventy-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 184 248 253 341 506 682 713 1012 1364 1426 2024 2728 2852 5704 7843 15686 20663 31372 41326 62744 82652 165304 227293 454586 475249 640553 909172 950498 1281106 1818344 1900996 2562212 3801992 5124424 5227739 7046083 10455478 14092166 14732719 20910956 28184332 29465438 41821912 56368664 58930876 117861752 162059909 324119818 648239636 1296479272