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1145301696 = 263273111731
BaseRepresentation
bin100010001000011…
…1110101011000000
32221211002100120100
41010100332223000
54321144123241
6305351442400
740244622000
oct10420765300
92854070510
101145301696
11538547130
1227b686400
13153382716
14ac172000
156a8339b6
hex4443eac0

1145301696 has 672 divisors, whose sum is σ = 4564684800. Its totient is φ = 270950400.

The previous prime is 1145301653. The next prime is 1145301697. The reversal of 1145301696 is 6961035411.

1145301696 is a `hidden beast` number, since 114 + 530 + 1 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1145301696.

It is not an unprimeable number, because it can be changed into a prime (1145301697) 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, 36945201 + ... + 36945231.

Almost surely, 21145301696 is an apocalyptic number.

1145301696 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 1145301696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282342400).

1145301696 is an abundant number, since it is smaller than the sum of its proper divisors (3419383104).

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

1145301696 is a wasteful number, since it uses less digits than its factorization.

1145301696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1145301696 is about 33842.3063043877. The cubic root of 1145301696 is about 1046.2608335530.

The spelling of 1145301696 in words is "one billion, one hundred forty-five million, three hundred one thousand, six hundred ninety-six".