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1830781264 = 24138998897
BaseRepresentation
bin110110100011111…
…1000000101010000
311201120221022202111
41231013320011100
512222140000024
6501355555104
763240245464
oct15507700520
94646838674
101830781264
1185a479074
1243115ba94
132323a9830
1413520a4a4
15aaad8a94
hex6d1f8150

1830781264 has 40 divisors (see below), whose sum is σ = 3862955880. Its totient is φ = 835473408.

The previous prime is 1830781261. The next prime is 1830781273. The reversal of 1830781264 is 4621870381.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 1830128400 = 808^2 + 42780^2 .

It is a super-2 number, since 2×18307812642 = 6703520073226875392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830781261) 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, 30937 + ... + 67960.

It is an arithmetic number, because the mean of its divisors is an integer number (96573897).

Almost surely, 21830781264 is an apocalyptic number.

It is an amenable number.

1830781264 is an abundant number, since it is smaller than the sum of its proper divisors (2032174616).

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

1830781264 is a wasteful number, since it uses less digits than its factorization.

1830781264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99007 (or 99001 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1830781264 is about 42787.6298011470. The cubic root of 1830781264 is about 1223.3352400109.

The spelling of 1830781264 in words is "one billion, eight hundred thirty million, seven hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 1157 1424 2314 4628 9256 18512 98897 197794 395588 791176 1285661 1582352 2571322 5142644 8801833 10285288 17603666 20570576 35207332 70414664 114423829 140829328 228847658 457695316 915390632 1830781264