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1145695460 = 225731329443
BaseRepresentation
bin100010001001001…
…1110110011100100
32221211211100201012
41010102132303210
54321244223320
6305404121352
740251152000
oct10422366344
92854740635
101145695460
11538795a58
1227b836258
1315348ca10
14ac235700
156a8b04c5
hex4449ece4

1145695460 has 192 divisors, whose sum is σ = 3132864000. Its totient is φ = 349300224.

The previous prime is 1145695423. The next prime is 1145695469. The reversal of 1145695460 is 645965411.

1145695460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11456954602 = 2625236174129223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145695469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2585999 + ... + 2586441.

It is an arithmetic number, because the mean of its divisors is an integer number (16317000).

Almost surely, 21145695460 is an apocalyptic number.

1145695460 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 1145695460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566432000).

1145695460 is an abundant number, since it is smaller than the sum of its proper divisors (1987168540).

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

1145695460 is a wasteful number, since it uses less digits than its factorization.

1145695460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 1145695460 is about 33848.1234339513. The cubic root of 1145695460 is about 1046.3807241307.

The spelling of 1145695460 in words is "one billion, one hundred forty-five million, six hundred ninety-five thousand, four hundred sixty".