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1145749040 = 24564122343
BaseRepresentation
bin100010001001010…
…1011111000110000
32221211221002012122
41010102223320300
54321302432130
6305405213412
740251464132
oct10422537060
92854832178
101145749040
11538822237
1227b861268
131534ab217
14ac24b052
156a8c12e5
hex444abe30

1145749040 has 40 divisors (see below), whose sum is σ = 2668141728. Its totient is φ = 457564160.

The previous prime is 1145749037. The next prime is 1145749043. The reversal of 1145749040 is 409475411.

1145749040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1145749037) and next prime (1145749043).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1145749043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40109 + ... + 62451.

Almost surely, 21145749040 is an apocalyptic number.

1145749040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145749040 is an abundant number, since it is smaller than the sum of its proper divisors (1522392688).

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

1145749040 is a wasteful number, since it uses less digits than its factorization.

1145749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22997 (or 22991 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1145749040 is about 33848.9149013672. The cubic root of 1145749040 is about 1046.3970356804.

The spelling of 1145749040 in words is "one billion, one hundred forty-five million, seven hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 641 1282 2564 3205 5128 6410 10256 12820 22343 25640 44686 51280 89372 111715 178744 223430 357488 446860 893720 1787440 14321863 28643726 57287452 71609315 114574904 143218630 229149808 286437260 572874520 1145749040