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1129068954 = 2321373157421
BaseRepresentation
bin100001101001100…
…0011100110011010
32220200112122102200
41003103003212122
54303020201304
6304011511030
736656633136
oct10323034632
92820478380
101129068954
1152a36a242
12276158476
1314cbbac50
14a9d483c6
15691c8e39
hex434c399a

1129068954 has 96 divisors (see below), whose sum is σ = 2693977104. Its totient is φ = 339655680.

The previous prime is 1129068907. The next prime is 1129068971. The reversal of 1129068954 is 4598609211.

It can be written as a sum of positive squares in 8 ways, for example, as 28355625 + 1100713329 = 5325^2 + 33177^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681664 + ... + 2682084.

Almost surely, 21129068954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129068954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346988552).

1129068954 is an abundant number, since it is smaller than the sum of its proper divisors (1564908150).

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

1129068954 is a wasteful number, since it uses less digits than its factorization.

1129068954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1129068954 is about 33601.6213001694. The cubic root of 1129068954 is about 1041.2942940142.

The spelling of 1129068954 in words is "one billion, one hundred twenty-nine million, sixty-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 157 219 234 314 421 438 471 657 842 942 949 1263 1314 1413 1898 2041 2526 2826 2847 3789 4082 5473 5694 6123 7578 8541 10946 11461 12246 16419 17082 18369 22922 30733 32838 34383 36738 49257 61466 66097 68766 92199 98514 103149 132194 148993 184398 198291 206298 276597 297986 396582 399529 446979 553194 594873 799058 859261 893958 1189746 1198587 1340937 1718522 2397174 2577783 2681874 3595761 4825081 5155566 7191522 7733349 9650162 14475243 15466698 28950486 43425729 62726053 86851458 125452106 188178159 376356318 564534477 1129068954