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1105670496 = 253721989139
BaseRepresentation
bin100000111100111…
…0011000101100000
32212001111212210010
41001321303011200
54231022423441
6301414204520
736254021100
oct10171630540
92761455703
101105670496
11518138677
1226a353740
131480b79c8
14a6bb7200
1567106116
hex41e73160

1105670496 has 288 divisors, whose sum is σ = 3619728000. Its totient is φ = 293787648.

The previous prime is 1105670453. The next prime is 1105670539. The reversal of 1105670496 is 6940765011.

It is an interprime number because it is at equal distance from previous prime (1105670453) and next prime (1105670539).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7954395 + ... + 7954533.

It is an arithmetic number, because the mean of its divisors is an integer number (12568500).

Almost surely, 21105670496 is an apocalyptic number.

1105670496 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 1105670496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809864000).

1105670496 is an abundant number, since it is smaller than the sum of its proper divisors (2514057504).

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

1105670496 is a wasteful number, since it uses less digits than its factorization.

1105670496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1105670496 is about 33251.6239603421. The cubic root of 1105670496 is about 1034.0508762584.

The spelling of 1105670496 in words is "one billion, one hundred five million, six hundred seventy thousand, four hundred ninety-six".