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1090300332 = 22311191512879
BaseRepresentation
bin100000011111100…
…1010100110101100
32210222120222212210
41000333022212230
54213104102312
6300104530420
736006254112
oct10077124654
92728528783
101090300332
1150a49a860
12265180a10
13144b65a34
14a4b35ab2
1565abbe3c
hex40fca9ac

1090300332 has 96 divisors (see below), whose sum is σ = 2941747200. Its totient is φ = 310824000.

The previous prime is 1090300301. The next prime is 1090300357. The reversal of 1090300332 is 2330030901.

It is a junction number, because it is equal to n+sod(n) for n = 1090300299 and 1090300308.

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, 377269 + ... + 380147.

It is an arithmetic number, because the mean of its divisors is an integer number (30643200).

Almost surely, 21090300332 is an apocalyptic number.

1090300332 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 1090300332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

1090300332 is an abundant number, since it is smaller than the sum of its proper divisors (1851446868).

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

1090300332 is a wasteful number, since it uses less digits than its factorization.

1090300332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 1090300332 is about 33019.6961221632. The cubic root of 1090300332 is about 1029.2369791195.

The spelling of 1090300332 in words is "one billion, ninety million, three hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 151 209 228 302 418 453 604 627 836 906 1254 1661 1812 2508 2869 2879 3322 4983 5738 5758 6644 8607 8637 9966 11476 11516 17214 17274 19932 31559 31669 34428 34548 54701 63118 63338 94677 95007 109402 126236 126676 164103 189354 190014 218804 328206 378708 380028 434729 601711 656412 869458 1203422 1304187 1738916 1805133 2406844 2608374 3610266 4782019 5216748 7220532 8259851 9564038 14346057 16519702 19128076 24779553 28692114 33039404 49559106 57384228 90858361 99118212 181716722 272575083 363433444 545150166 1090300332