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1145445840 = 243357117197
BaseRepresentation
bin100010001000110…
…0001110111010000
32221211100200022000
41010101201313100
54321213231330
6305354514000
740246062150
oct10421416720
92854320260
101145445840
11538635460
1227b735900
13153403206
14ac1ac760
156a861560
hex44461dd0

1145445840 has 640 divisors, whose sum is σ = 5039677440. Its totient is φ = 232243200.

The previous prime is 1145445803. The next prime is 1145445841. The reversal of 1145445840 is 485445411.

1145445840 is a `hidden beast` number, since 114 + 54 + 458 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1145445795 and 1145445804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145445841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11808672 + ... + 11808768.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 21145445840 is an apocalyptic number.

1145445840 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 1145445840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519838720).

1145445840 is an abundant number, since it is smaller than the sum of its proper divisors (3894231600).

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

1145445840 is a wasteful number, since it uses less digits than its factorization.

1145445840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 1145445840 is about 33844.4358794766. The cubic root of 1145445840 is about 1046.3047247233.

It can be divided in two parts, 1145 and 445840, that added together give a triangular number (446985 = T945).

The spelling of 1145445840 in words is "one billion, one hundred forty-five million, four hundred forty-five thousand, eight hundred forty".