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1145207040 = 28351753331
BaseRepresentation
bin100010001000010…
…0111100100000000
32221210220112201120
41010100213210000
54321133111130
6305345432240
740244046015
oct10420474400
92853815646
101145207040
11538491aaa
1227b63b680
1315334b603
14ac14970c
156a815910
hex44427900

1145207040 has 288 divisors, whose sum is σ = 3957641856. Its totient is φ = 281149440.

The previous prime is 1145207033. The next prime is 1145207047. The reversal of 1145207040 is 407025411.

It is an interprime number because it is at equal distance from previous prime (1145207033) and next prime (1145207047).

It is a super-2 number, since 2×11452070402 = 2622998328931123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1145207040.

It is not an unprimeable number, because it can be changed into a prime (1145207047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459675 + ... + 3460005.

It is an arithmetic number, because the mean of its divisors is an integer number (13741812).

Almost surely, 21145207040 is an apocalyptic number.

1145207040 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 1145207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978820928).

1145207040 is an abundant number, since it is smaller than the sum of its proper divisors (2812434816).

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

1145207040 is a wasteful number, since it uses less digits than its factorization.

1145207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1145207040 is about 33840.9077892423. The cubic root of 1145207040 is about 1046.2320092429.

The spelling of 1145207040 in words is "one billion, one hundred forty-five million, two hundred seven thousand, forty".