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1453132096 = 26133674759
BaseRepresentation
bin101011010011101…
…0000100101000000
310202021022202111021
41112213100211000
510434000211341
6400105355224
751003263503
oct12647204500
93667282437
101453132096
11686289719
12346798b14
131a20926a0
14dadc313a
158788c9d1
hex569d0940

1453132096 has 56 divisors (see below), whose sum is σ = 3114487040. Its totient is φ = 668708352.

The previous prime is 1453132061. The next prime is 1453132097. The reversal of 1453132096 is 6902313541.

It is a super-2 number, since 2×14531320962 = 4223185776850706432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453132097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302965 + ... + 307723.

It is an arithmetic number, because the mean of its divisors is an integer number (55615840).

Almost surely, 21453132096 is an apocalyptic number.

1453132096 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 1453132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557243520).

1453132096 is an abundant number, since it is smaller than the sum of its proper divisors (1661354944).

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

1453132096 is a wasteful number, since it uses less digits than its factorization.

1453132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 1453132096 is about 38119.9697796313. The cubic root of 1453132096 is about 1132.6655677184.

The spelling of 1453132096 in words is "one billion, four hundred fifty-three million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 367 416 734 832 1468 2936 4759 4771 5872 9518 9542 11744 19036 19084 23488 38072 38168 61867 76144 76336 123734 152288 152672 247468 304576 305344 494936 989872 1746553 1979744 3493106 3959488 6986212 13972424 22705189 27944848 45410378 55889696 90820756 111779392 181641512 363283024 726566048 1453132096