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1005115220 = 225481710433
BaseRepresentation
bin111011111010001…
…101011101010100
32121001022010212122
4323322031131110
54024302141340
6243423035112
733623224034
oct7372153524
92531263778
101005115220
114763a7a3a
1224073ba98
1313030b545
14976bd8c4
155d391db5
hex3be8d754

1005115220 has 24 divisors (see below), whose sum is σ = 2111382504. Its totient is φ = 401924096.

The previous prime is 1005115151. The next prime is 1005115229. The reversal of 1005115220 is 225115001.

It can be written as a sum of positive squares in 4 ways, for example, as 24423364 + 980691856 = 4942^2 + 31316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005115229) 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, 91124 + ... + 101556.

It is an arithmetic number, because the mean of its divisors is an integer number (87974271).

Almost surely, 21005115220 is an apocalyptic number.

1005115220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005115220 is an abundant number, since it is smaller than the sum of its proper divisors (1106267284).

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

1005115220 is a wasteful number, since it uses less digits than its factorization.

1005115220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1005115220 is about 31703.5521669103. The cubic root of 1005115220 is about 1001.7021742921.

The spelling of 1005115220 in words is "one billion, five million, one hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 4817 9634 10433 19268 20866 24085 41732 48170 52165 96340 104330 208660 50255761 100511522 201023044 251278805 502557610 1005115220