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1081159092 = 22321329372153
BaseRepresentation
bin100000001110001…
…0010110110110100
32210100101120110100
41000130102312310
54203234042332
6255140554100
735535462216
oct10034226664
92710346410
101081159092
11505316912
122620b2930
13142cb5010
14a38365b6
1564db367c
hex40712db4

1081159092 has 144 divisors (see below), whose sum is σ = 3128383440. Its totient is φ = 312367104.

The previous prime is 1081158997. The next prime is 1081159111. The reversal of 1081159092 is 2909511801.

It can be written as a sum of positive squares in 8 ways, for example, as 47279376 + 1033879716 = 6876^2 + 32154^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501088 + ... + 503240.

It is an arithmetic number, because the mean of its divisors is an integer number (21724885).

Almost surely, 21081159092 is an apocalyptic number.

1081159092 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 1081159092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564191720).

1081159092 is an abundant number, since it is smaller than the sum of its proper divisors (2047224348).

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

1081159092 is a wasteful number, since it uses less digits than its factorization.

1081159092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 1081159092 is about 32880.9837444076. The cubic root of 1081159092 is about 1026.3524774145.

The spelling of 1081159092 in words is "one billion, eighty-one million, one hundred fifty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 37 39 52 58 74 78 87 111 116 117 148 156 174 222 234 261 333 348 377 444 468 481 522 666 754 962 1044 1073 1131 1332 1443 1508 1924 2146 2153 2262 2886 3219 3393 4292 4306 4329 4524 5772 6438 6459 6786 8612 8658 9657 12876 12918 13572 13949 17316 19314 19377 25836 27898 27989 38628 38754 41847 55796 55978 62437 77508 79661 83694 83967 111956 124874 125541 159322 167388 167934 187311 238983 249748 251082 251901 318644 335868 374622 477966 502164 503802 561933 716949 749244 811681 955932 1007604 1035593 1123866 1433898 1623362 2071186 2247732 2310169 2435043 2867796 3106779 3246724 4142372 4620338 4870086 6213558 6930507 7305129 9240676 9320337 9740172 12427116 13861014 14610258 18640674 20791521 27722028 29220516 30032197 37281348 41583042 60064394 83166084 90096591 120128788 180193182 270289773 360386364 540579546 1081159092