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1076714496 = 2103211131943
BaseRepresentation
bin100000000101101…
…0101110000000000
32210001000202121200
41000023111300000
54201114330441
6254501421200
735452631214
oct10013256000
92701022550
101076714496
115028605a0
1226070a800
131420b9c90
14a2dda944
15647d67b6
hex402d5c00

1076714496 has 528 divisors, whose sum is σ = 3934170240. Its totient is φ = 278691840.

The previous prime is 1076714491. The next prime is 1076714497. The reversal of 1076714496 is 6944176701.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076714491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25039851 + ... + 25039893.

It is an arithmetic number, because the mean of its divisors is an integer number (7451080).

Almost surely, 21076714496 is an apocalyptic number.

1076714496 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 1076714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967085120).

1076714496 is an abundant number, since it is smaller than the sum of its proper divisors (2857455744).

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

1076714496 is a wasteful number, since it uses less digits than its factorization.

1076714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1076714496 is about 32813.3280238381. The cubic root of 1076714496 is about 1024.9441162473.

The spelling of 1076714496 in words is "one billion, seventy-six million, seven hundred fourteen thousand, four hundred ninety-six".