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1093919904 = 2537721129
BaseRepresentation
bin100000100110011…
…1110010010100000
32211020101220000000
41001030332102200
54220020414104
6300314300000
736052110600
oct10114762240
92736356000
101093919904
11511542240
12266427600
131458323ac
14a53d8c00
1566084639
hex4133e4a0

1093919904 has 576 divisors, whose sum is σ = 4240252800. Its totient is φ = 274337280.

The previous prime is 1093919903. The next prime is 1093919941. The reversal of 1093919904 is 4099193901.

It is a self number, because there is not a number n which added to its sum of digits gives 1093919904.

It is not an unprimeable number, because it can be changed into a prime (1093919903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37721362 + ... + 37721390.

It is an arithmetic number, because the mean of its divisors is an integer number (7361550).

Almost surely, 21093919904 is an apocalyptic number.

1093919904 is a gapful number since it is divisible by the number (14) 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 1093919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120126400).

1093919904 is an abundant number, since it is smaller than the sum of its proper divisors (3146332896).

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

1093919904 is an equidigital number, since it uses as much as digits as its factorization.

1093919904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 1093919904 is about 33074.4599955918. The cubic root of 1093919904 is about 1030.3746725028.

The spelling of 1093919904 in words is "one billion, ninety-three million, nine hundred nineteen thousand, nine hundred four".