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1145531250 = 232564073
BaseRepresentation
bin100010001000111…
…0110101101110010
32221211112000110100
41010101312231302
54321224000000
6305400413230
740246566153
oct10421665562
92854460410
101145531250
11538693646
1227b777216
13153433056
14ac1d192a
156a87ba00
hex44476b72

1145531250 has 84 divisors (see below), whose sum is σ = 3103202466. Its totient is φ = 305400000.

The previous prime is 1145531207. The next prime is 1145531263. The reversal of 1145531250 is 521355411.

It can be written as a sum of positive squares in 7 ways, for example, as 856089081 + 289442169 = 29259^2 + 17013^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 279214 + ... + 283286.

Almost surely, 21145531250 is an apocalyptic number.

1145531250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145531250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551601233).

1145531250 is an abundant number, since it is smaller than the sum of its proper divisors (1957671216).

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

1145531250 is an frugal number, since it uses more digits than its factorization.

1145531250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1145531250 is about 33845.6976586390. The cubic root of 1145531250 is about 1046.3307299294.

Adding to 1145531250 its reverse (521355411), we get a palindrome (1666886661).

The spelling of 1145531250 in words is "one billion, one hundred forty-five million, five hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 3125 3750 4073 5625 6250 8146 9375 11250 12219 15625 18750 20365 24438 28125 31250 36657 40730 46875 56250 61095 73314 93750 101825 122190 140625 183285 203650 281250 305475 366570 509125 610950 916425 1018250 1527375 1832850 2545625 3054750 4582125 5091250 7636875 9164250 12728125 15273750 22910625 25456250 38184375 45821250 63640625 76368750 114553125 127281250 190921875 229106250 381843750 572765625 1145531250