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1085872392 = 23341131259
BaseRepresentation
bin100000010111001…
…0001100100001000
32210200021000220000
41000232101210020
54210440404032
6255430003000
735623522503
oct10056214410
92720230800
101085872392
11507a46000
122637a6460
13143c75457
14a430213a
15654e4e7c
hex40b91908

1085872392 has 160 divisors (see below), whose sum is σ = 3348021600. Its totient is φ = 328790880.

The previous prime is 1085872391. The next prime is 1085872397. The reversal of 1085872392 is 2932785801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1085872391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 861859 + ... + 863117.

It is an arithmetic number, because the mean of its divisors is an integer number (20925135).

Almost surely, 21085872392 is an apocalyptic number.

1085872392 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 1085872392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674010800).

1085872392 is an abundant number, since it is smaller than the sum of its proper divisors (2262149208).

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

1085872392 is a wasteful number, since it uses less digits than its factorization.

1085872392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1085872392 is about 32952.5779264688. The cubic root of 1085872392 is about 1027.8417723940.

The spelling of 1085872392 in words is "one billion, eighty-five million, eight hundred seventy-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1259 1331 1452 1782 2178 2376 2518 2662 2904 3267 3564 3777 3993 4356 5036 5324 6534 7128 7554 7986 8712 9801 10072 10648 11331 11979 13068 13849 15108 15972 19602 22662 23958 26136 27698 30216 31944 33993 35937 39204 41547 45324 47916 55396 67986 71874 78408 83094 90648 95832 101979 107811 110792 124641 135972 143748 152339 166188 203958 215622 249282 271944 287496 304678 332376 373923 407916 431244 457017 498564 609356 747846 815832 862488 914034 997128 1121769 1218712 1371051 1495692 1675729 1828068 2243538 2742102 2991384 3351458 3656136 4113153 4487076 5027187 5484204 6702916 8226306 8974152 10054374 10968408 12339459 13405832 15081561 16452612 20108748 24678918 30163122 32905224 40217496 45244683 49357836 60326244 90489366 98715672 120652488 135734049 180978732 271468098 361957464 542936196 1085872392