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1145166432 = 25311928817
BaseRepresentation
bin100010001000001…
…1101101001100000
32221210211111000120
41010100131221200
54321130311212
6305344520240
740243516434
oct10420355140
92853744016
101145166432
11538464543
1227b620080
13153335c97
14ac1389c4
156a80888c
hex4441da60

1145166432 has 24 divisors (see below), whose sum is σ = 3006062136. Its totient is φ = 381722112.

The previous prime is 1145166431. The next prime is 1145166437. The reversal of 1145166432 is 2346615411.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×11451664322 = 2622812313959221248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145166393 and 1145166402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145166431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5964313 + ... + 5964504.

It is an arithmetic number, because the mean of its divisors is an integer number (125252589).

Almost surely, 21145166432 is an apocalyptic number.

1145166432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1145166432 is an abundant number, since it is smaller than the sum of its proper divisors (1860895704).

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

1145166432 is a wasteful number, since it uses less digits than its factorization.

1145166432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11928830 (or 11928822 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1145166432 is about 33840.3078000186. The cubic root of 1145166432 is about 1046.2196429516.

The spelling of 1145166432 in words is "one billion, one hundred forty-five million, one hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11928817 23857634 35786451 47715268 71572902 95430536 143145804 190861072 286291608 381722144 572583216 1145166432