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1268057252 = 2271122316273
BaseRepresentation
bin100101110010101…
…0000010010100100
310021101001222112102
41023211100102210
510044110313002
6325454511232
743265210630
oct11345202244
93241058472
101268057252
115a0870200
122b4805518
13172932947
14c05a7dc0
15764d0a02
hex4b9504a4

1268057252 has 72 divisors (see below), whose sum is σ = 2909010048. Its totient is φ = 472538880.

The previous prime is 1268057249. The next prime is 1268057257. The reversal of 1268057252 is 2527508621.

It is not an unprimeable number, because it can be changed into a prime (1268057257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69788 + ... + 86060.

Almost surely, 21268057252 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 1268057252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454505024).

1268057252 is an abundant number, since it is smaller than the sum of its proper divisors (1640952796).

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

1268057252 is a wasteful number, since it uses less digits than its factorization.

1268057252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16329 (or 16316 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 1268057252 is about 35609.7915186259. The cubic root of 1268057252 is about 1082.3796556865.

The spelling of 1268057252 in words is "one billion, two hundred sixty-eight million, fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 484 506 644 847 1012 1694 1771 2783 3388 3542 5566 7084 11132 16273 19481 32546 38962 65092 77924 113911 179003 227822 358006 374279 455644 716012 748558 1253021 1497116 1969033 2506042 2619953 3938066 4117069 5012084 5239906 7876132 8234138 10479812 13783231 16468276 27566462 28819483 45287759 55132924 57638966 90575518 115277932 181151036 317014313 634028626 1268057252