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1085887104 = 27317397419
BaseRepresentation
bin100000010111001…
…0101001010000000
32210200021210001220
41000232111022000
54210441341404
6255430155040
735623613421
oct10056251200
92720253056
101085887104
11507a56065
122637b2a80
13143c7c063
14a4307648
15654e94d9
hex40b95280

1085887104 has 128 divisors (see below), whose sum is σ = 3069057600. Its totient is φ = 339001344.

The previous prime is 1085887093. The next prime is 1085887111. The reversal of 1085887104 is 4017885801.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591407 + ... + 2591825.

Almost surely, 21085887104 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 1085887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534528800).

1085887104 is an abundant number, since it is smaller than the sum of its proper divisors (1983170496).

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

1085887104 is a wasteful number, since it uses less digits than its factorization.

1085887104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 1085887104 is about 32952.8011555922. The cubic root of 1085887104 is about 1027.8464142961.

The spelling of 1085887104 in words is "one billion, eighty-five million, eight hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 397 408 419 544 794 816 838 1088 1191 1257 1588 1632 1676 2176 2382 2514 3176 3264 3352 4764 5028 6352 6528 6704 6749 7123 9528 10056 12704 13408 13498 14246 19056 20112 20247 21369 25408 26816 26996 28492 38112 40224 40494 42738 50816 53632 53992 56984 76224 80448 80988 85476 107984 113968 152448 160896 161976 166343 170952 215968 227936 323952 332686 341904 431936 455872 499029 647904 665372 683808 863872 911744 998058 1295808 1330744 1367616 1996116 2591616 2661488 2735232 2827831 3992232 5322976 5655662 7984464 8483493 10645952 11311324 15968928 16966986 21291904 22622648 31937856 33933972 45245296 63875712 67867944 90490592 135735888 180981184 271471776 361962368 542943552 1085887104