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1085211960 = 233576121179
BaseRepresentation
bin100000010101111…
…0000010100111000
32210122000110221120
41000223300110320
54210303240320
6255403505240
735615102160
oct10053602470
92718013846
101085211960
11507634898
12263528220
13143aa3971
14a41ad5a0
1565414440
hex40af0538

1085211960 has 128 divisors (see below), whose sum is σ = 3781900800. Its totient is φ = 243970560.

The previous prime is 1085211901. The next prime is 1085211971. The reversal of 1085211960 is 691125801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40651 + ... + 61829.

It is an arithmetic number, because the mean of its divisors is an integer number (29546100).

Almost surely, 21085211960 is an apocalyptic number.

1085211960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085211960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890950400).

1085211960 is an abundant number, since it is smaller than the sum of its proper divisors (2696688840).

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

1085211960 is a wasteful number, since it uses less digits than its factorization.

1085211960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21261 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 1085211960 is about 32942.5554564305. Note that the first 3 decimals coincide. The cubic root of 1085211960 is about 1027.6333509536.

The spelling of 1085211960 in words is "one billion, eighty-five million, two hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 840 854 915 1220 1281 1464 1708 1830 2135 2440 2562 3416 3660 4270 5124 6405 7320 8540 10248 12810 17080 21179 25620 42358 51240 63537 84716 105895 127074 148253 169432 211790 254148 296506 317685 423580 444759 508296 593012 635370 741265 847160 889518 1186024 1270740 1291919 1482530 1779036 2223795 2541480 2583838 2965060 3558072 3875757 4447590 5167676 5930120 6459595 7751514 8895180 9043433 10335352 12919190 15503028 17790360 18086866 19378785 25838380 27130299 31006056 36173732 38757570 45217165 51676760 54260598 72347464 77515140 90434330 108521196 135651495 155030280 180868660 217042392 271302990 361737320 542605980 1085211960