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1155105264 = 2432329109331
BaseRepresentation
bin100010011011001…
…1000000111110000
32222111112102112110
41010312120013300
54331201332024
6310341525320
740424142555
oct10466300760
92874472473
101155105264
11543032755
12282a13840
13155405a51
14ad5a4a2c
156b61d629
hex44d981f0

1155105264 has 160 divisors (see below), whose sum is σ = 3260505600. Its totient is φ = 351267840.

The previous prime is 1155105253. The next prime is 1155105269. The reversal of 1155105264 is 4625015511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155105269) 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 31 ways as a sum of consecutive naturals, for example, 3489579 + ... + 3489909.

It is an arithmetic number, because the mean of its divisors is an integer number (20378160).

Almost surely, 21155105264 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 1155105264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630252800).

1155105264 is an abundant number, since it is smaller than the sum of its proper divisors (2105400336).

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

1155105264 is a wasteful number, since it uses less digits than its factorization.

1155105264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 1155105264 is about 33986.8395706338. The cubic root of 1155105264 is about 1049.2376216471.

The spelling of 1155105264 in words is "one billion, one hundred fifty-five million, one hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 109 116 138 174 184 218 232 276 327 331 348 368 436 464 552 654 662 667 696 872 993 1104 1308 1324 1334 1392 1744 1986 2001 2507 2616 2648 2668 3161 3972 4002 5014 5232 5296 5336 6322 7521 7613 7944 8004 9483 9599 10028 10672 12644 15042 15226 15888 16008 18966 19198 20056 22839 25288 28797 30084 30452 32016 36079 37932 38396 40112 45678 50576 57594 60168 60904 72158 72703 75864 76792 91356 108237 115188 120336 121808 144316 145406 151728 153584 182712 216474 218109 220777 230376 288632 290812 365424 432948 436218 441554 460752 577264 581624 662331 829817 865896 872436 883108 1046291 1163248 1324662 1659634 1731792 1744872 1766216 2092582 2489451 2649324 3138873 3319268 3489744 3532432 4185164 4978902 5298648 6277746 6638536 8370328 9957804 10597296 12555492 13277072 16740656 19915608 24064693 25110984 39831216 48129386 50221968 72194079 96258772 144388158 192517544 288776316 385035088 577552632 1155105264