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1114411032 = 2332714811493
BaseRepresentation
bin100001001101100…
…1001000000011000
32212122221221112200
41002123021000120
54240242123112
6302325410200
736421223520
oct10233110030
92778857480
101114411032
11522068559
12271269960
13149b58217
14a8010680
1567c80cdc
hex426c9018

1114411032 has 96 divisors (see below), whose sum is σ = 3454008480. Its totient is φ = 317975040.

The previous prime is 1114410953. The next prime is 1114411061. The reversal of 1114411032 is 2301144111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1114410996 and 1114411014.

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, 745678 + ... + 747170.

It is an arithmetic number, because the mean of its divisors is an integer number (35979255).

Almost surely, 21114411032 is an apocalyptic number.

1114411032 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 1114411032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727004240).

1114411032 is an abundant number, since it is smaller than the sum of its proper divisors (2339597448).

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

1114411032 is a wasteful number, since it uses less digits than its factorization.

1114411032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1114411032 is about 33382.7954491531. The cubic root of 1114411032 is about 1036.7685173839.

Adding to 1114411032 its reverse (2301144111), we get a palindrome (3415555143).

The spelling of 1114411032 in words is "one billion, one hundred fourteen million, four hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1481 1493 2962 2986 4443 4479 5924 5972 8886 8958 10367 10451 11848 11944 13329 13437 17772 17916 20734 20902 26658 26874 31101 31353 35544 35832 41468 41804 53316 53748 62202 62706 82936 83608 93303 94059 106632 107496 124404 125412 186606 188118 248808 250824 373212 376236 746424 752472 2211133 4422266 6633399 8844532 13266798 15477931 17689064 19900197 26533596 30955862 39800394 46433793 53067192 61911724 79600788 92867586 123823448 139301379 159201576 185735172 278602758 371470344 557205516 1114411032