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1138518528 = 293732161
BaseRepresentation
bin100001111011100…
…0110101000000000
32221100022201210220
41003313012220000
54312430043103
6304550223040
740133151000
oct10367065000
92840281726
101138518528
11534733904
12279354a80
13151b49104
14ab2c8000
1569e43c53
hex43dc6a00

1138518528 has 160 divisors (see below), whose sum is σ = 3538761600. Its totient is φ = 325140480.

The previous prime is 1138518473. The next prime is 1138518529. The reversal of 1138518528 is 8258158311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1138518528.

It is not an unprimeable number, because it can be changed into a prime (1138518529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525768 + ... + 527928.

It is an arithmetic number, because the mean of its divisors is an integer number (22117260).

Almost surely, 21138518528 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 1138518528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769380800).

1138518528 is an abundant number, since it is smaller than the sum of its proper divisors (2400243072).

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

1138518528 is an frugal number, since it uses more digits than its factorization.

1138518528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2173 counting only the distinct ones).

The product of its digits is 76800, while the sum is 42.

The square root of 1138518528 is about 33741.9401931780. The cubic root of 1138518528 is about 1044.1912129029.

The spelling of 1138518528 in words is "one billion, one hundred thirty-eight million, five hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 512 588 672 686 768 784 896 1029 1176 1344 1372 1536 1568 1792 2058 2161 2352 2688 2744 3136 3584 4116 4322 4704 5376 5488 6272 6483 8232 8644 9408 10752 10976 12544 12966 15127 16464 17288 18816 21952 25088 25932 30254 32928 34576 37632 43904 45381 51864 60508 65856 69152 75264 87808 90762 103728 105889 121016 131712 138304 175616 181524 207456 211778 242032 263424 276608 317667 363048 414912 423556 484064 526848 553216 635334 726096 741223 829824 847112 968128 1106432 1270668 1452192 1482446 1659648 1694224 1936256 2223669 2541336 2904384 2964892 3319296 3388448 3872512 4447338 5082672 5808768 5929784 6776896 7745024 8894676 10165344 11617536 11859568 13553792 17789352 20330688 23235072 23719136 27107584 35578704 40661376 47438272 54215168 71157408 81322752 94876544 142314816 162645504 189753088 284629632 379506176 569259264 1138518528