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1114083456 = 2733123019
BaseRepresentation
bin100001001100111…
…1001000010000000
32212122100022012020
41002121321002000
54240201132311
6302314401440
736415360503
oct10231710200
92778308166
101114083456
11521964432
12271130280
13149a720a5
14a7d6713a
1567c18c06
hex42679080

1114083456 has 96 divisors (see below), whose sum is σ = 3058837200. Its totient is φ = 359262720.

The previous prime is 1114083427. The next prime is 1114083469. The reversal of 1114083456 is 6543804111.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367515 + ... + 370533.

Almost surely, 21114083456 is an apocalyptic number.

1114083456 is a gapful number since it is divisible by the number (16) 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 1114083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529418600).

1114083456 is an abundant number, since it is smaller than the sum of its proper divisors (1944753744).

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

1114083456 is an equidigital number, since it uses as much as digits as its factorization.

1114083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1114083456 is about 33377.8887289175. Note that the first 3 decimals coincide. The cubic root of 1114083456 is about 1036.6669229823. Note that the first 3 decimals are identical.

Adding to 1114083456 its reverse (6543804111), we get a palindrome (7657887567).

The spelling of 1114083456 in words is "one billion, one hundred fourteen million, eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 961 992 1488 1922 1984 2883 2976 3019 3844 3968 5766 5952 6038 7688 9057 11532 11904 12076 15376 18114 23064 24152 30752 36228 46128 48304 61504 72456 92256 93589 96608 123008 144912 184512 187178 193216 280767 289824 369024 374356 386432 561534 579648 748712 1123068 1159296 1497424 2246136 2901259 2994848 4492272 5802518 5989696 8703777 8984544 11605036 11979392 17407554 17969088 23210072 34815108 35938176 46420144 69630216 92840288 139260432 185680576 278520864 371361152 557041728 1114083456