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1288950138 = 233713012621
BaseRepresentation
bin100110011010011…
…1101000101111010
310022211101110012000
41030310331011322
510114432401023
6331522401430
743640616060
oct11464750572
93284343160
101288950138
11601640353
122bb800276
131770695b8
14c3286030
157825b243
hex4cd3d17a

1288950138 has 64 divisors (see below), whose sum is σ = 3277290240. Its totient is φ = 367848000.

The previous prime is 1288950133. The next prime is 1288950151. The reversal of 1288950138 is 8310598821.

It is a happy number.

It is a super-2 number, since 2×12889501382 = 3322784916500438088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288950093 and 1288950102.

It is not an unprimeable number, because it can be changed into a prime (1288950133) 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 31 ways as a sum of consecutive naturals, for example, 490468 + ... + 493088.

It is an arithmetic number, because the mean of its divisors is an integer number (51207660).

Almost surely, 21288950138 is an apocalyptic number.

1288950138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1288950138 is an abundant number, since it is smaller than the sum of its proper divisors (1988340102).

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

1288950138 is a wasteful number, since it uses less digits than its factorization.

1288950138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1288950138 is about 35901.9517296762. The cubic root of 1288950138 is about 1088.2918389957.

The spelling of 1288950138 in words is "one billion, two hundred eighty-eight million, nine hundred fifty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1301 2602 2621 3903 5242 7806 7863 9107 11709 15726 18214 18347 23418 23589 27321 35127 36694 47178 54642 55041 70254 70767 81963 110082 141534 163926 165123 245889 330246 491778 495369 990738 3409921 6819842 10229763 20459526 23869447 30689289 47738894 61378578 71608341 92067867 143216682 184135734 214825023 429650046 644475069 1288950138