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1114394820 = 2235711312251
BaseRepresentation
bin100001001101100…
…0101000011000100
32212122221010022020
41002123011003010
54240241113240
6302325203140
736421125330
oct10233050304
92778833266
101114394820
11522057360
122712604b0
13149b50a26
14a80087c0
1567c7b0d0
hex426c50c4

1114394820 has 288 divisors, whose sum is σ = 4035806208. Its totient is φ = 223200000.

The previous prime is 1114394819. The next prime is 1114394833. The reversal of 1114394820 is 284934111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4439695 + ... + 4439945.

It is an arithmetic number, because the mean of its divisors is an integer number (14013216).

Almost surely, 21114394820 is an apocalyptic number.

1114394820 is a gapful number since it is divisible by the number (10) 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 1114394820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017903104).

1114394820 is an abundant number, since it is smaller than the sum of its proper divisors (2921411388).

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

1114394820 is a wasteful number, since it uses less digits than its factorization.

1114394820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1114394820 is about 33382.5526285813. The cubic root of 1114394820 is about 1036.7634898635.

The spelling of 1114394820 in words is "one billion, one hundred fourteen million, three hundred ninety-four thousand, eight hundred twenty".