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1081189632 = 28359107223
BaseRepresentation
bin100000001110001…
…1010010100000000
32210100110010100110
41000130122110000
54203241032012
6255141351320
735535650235
oct10034322400
92710403313
101081189632
11505337856
12262108540
13142cc5ba3
14a384378c
1564dbc73c
hex4071a500

1081189632 has 144 divisors (see below), whose sum is σ = 2966906880. Its totient is φ = 349403136.

The previous prime is 1081189621. The next prime is 1081189643. The reversal of 1081189632 is 2369811801.

It is an interprime number because it is at equal distance from previous prime (1081189621) and next prime (1081189643).

It is a congruent number.

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, 4848273 + ... + 4848495.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 21081189632 is an apocalyptic number.

1081189632 is a gapful number since it is divisible by the number (12) 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 1081189632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

1081189632 is an abundant number, since it is smaller than the sum of its proper divisors (1885717248).

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

1081189632 is a wasteful number, since it uses less digits than its factorization.

1081189632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1081189632 is about 32881.4481432920. The cubic root of 1081189632 is about 1026.3621412743.

The spelling of 1081189632 in words is "one billion, eighty-one million, one hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 107 118 128 177 192 214 223 236 256 321 354 384 428 446 472 642 669 708 768 856 892 944 1284 1338 1416 1712 1784 1888 2568 2676 2832 3424 3568 3776 5136 5352 5664 6313 6848 7136 7552 10272 10704 11328 12626 13157 13696 14272 15104 18939 20544 21408 22656 23861 25252 26314 27392 28544 37878 39471 41088 42816 45312 47722 50504 52628 57088 71583 75756 78942 82176 85632 95444 101008 105256 143166 151512 157884 171264 190888 202016 210512 286332 303024 315768 381776 404032 421024 572664 606048 631536 763552 808064 842048 1145328 1212096 1263072 1407799 1527104 1616128 1684096 2290656 2424192 2526144 2815598 3054208 3368192 4223397 4581312 4848384 5052288 5631196 6108416 8446794 9162624 10104576 11262392 16893588 18325248 22524784 33787176 45049568 67574352 90099136 135148704 180198272 270297408 360396544 540594816 1081189632