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1145205056 = 2637563859
BaseRepresentation
bin100010001000010…
…0111000101000000
32221210220110000002
41010100213011000
54321133030211
6305345415132
740244040152
oct10420470500
92853813002
101145205056
11538490566
1227b63a4a8
1315334a738
14ac148ad2
156a81503b
hex44427140

1145205056 has 56 divisors (see below), whose sum is σ = 2340803040. Its totient is φ = 555489792.

The previous prime is 1145205053. The next prime is 1145205077. The reversal of 1145205056 is 6505025411.

It is a happy number.

It is a super-2 number, since 2×11452050562 = 2622989240575926272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145205053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1332755 + ... + 1333613.

Almost surely, 21145205056 is an apocalyptic number.

1145205056 is a gapful number since it is divisible by the number (16) 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 1145205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170401520).

1145205056 is an abundant number, since it is smaller than the sum of its proper divisors (1195597984).

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

1145205056 is an equidigital number, since it uses as much as digits as its factorization.

1145205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 1145205056 is about 33840.8784755952. The cubic root of 1145205056 is about 1046.2314050652.

The spelling of 1145205056 in words is "one billion, one hundred forty-five million, two hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 563 592 859 1126 1184 1718 2252 2368 3436 4504 6872 9008 13744 18016 20831 27488 31783 36032 41662 54976 63566 83324 127132 166648 254264 333296 483617 508528 666592 967234 1017056 1333184 1934468 2034112 3868936 7737872 15475744 17893829 30951488 35787658 71575316 143150632 286301264 572602528 1145205056