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1081164384 = 253253193367
BaseRepresentation
bin100000001110001…
…0100001001100000
32210100101211201100
41000130110021200
54203234230014
6255141034400
735535513516
oct10034241140
92710354640
101081164384
1150531a893
122620b5a00
13142cb7551
14a38384b6
1564db5009
hex40714260

1081164384 has 144 divisors (see below), whose sum is σ = 3157382592. Its totient is φ = 350797824.

The previous prime is 1081164377. The next prime is 1081164397. The reversal of 1081164384 is 4834611801.

It is a happy number.

1081164384 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 1 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2945769 + ... + 2946135.

It is an arithmetic number, because the mean of its divisors is an integer number (21926268).

Almost surely, 21081164384 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 1081164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578691296).

1081164384 is an abundant number, since it is smaller than the sum of its proper divisors (2076218208).

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

1081164384 is a wasteful number, since it uses less digits than its factorization.

1081164384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1081164384 is about 32881.0642163541. The cubic root of 1081164384 is about 1026.3541519903.

The spelling of 1081164384 in words is "one billion, eighty-one million, one hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 193 212 288 318 367 386 424 477 579 636 734 772 848 954 1101 1158 1272 1468 1544 1696 1737 1908 2202 2316 2544 2936 3088 3303 3474 3816 4404 4632 5088 5872 6176 6606 6948 7632 8808 9264 10229 11744 13212 13896 15264 17616 18528 19451 20458 26424 27792 30687 35232 38902 40916 52848 55584 58353 61374 70831 77804 81832 92061 105696 116706 122748 141662 155608 163664 175059 184122 212493 233412 245496 283324 311216 327328 350118 368244 424986 466824 490992 566648 622432 637479 700236 736488 849972 933648 981984 1133296 1274958 1400472 1472976 1699944 1867296 2266592 2549916 2800944 2945952 3399888 3754043 5099832 5601888 6799776 7508086 10199664 11262129 15016172 20399328 22524258 30032344 33786387 45048516 60064688 67572774 90097032 120129376 135145548 180194064 270291096 360388128 540582192 1081164384