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1364232420 = 223257579069
BaseRepresentation
bin101000101010000…
…1000100011100100
310112002001012001200
41101110020203210
510243220414140
6343212122500
745543532665
oct12124104344
93462035050
101364232420
1164008a011
12320a66430
13189837525
14cd28136c
157eb7c030
hex515088e4

1364232420 has 36 divisors (see below), whose sum is σ = 4138172220. Its totient is φ = 363795264.

The previous prime is 1364232409. The next prime is 1364232451. The reversal of 1364232420 is 242324631.

1364232420 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 232 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 620906724 + 743325696 = 24918^2 + 27264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13642324202 = 3722260191558112800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3789355 + ... + 3789714.

Almost surely, 21364232420 is an apocalyptic number.

1364232420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364232420 is an abundant number, since it is smaller than the sum of its proper divisors (2773939800).

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

1364232420 is a wasteful number, since it uses less digits than its factorization.

1364232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579084 (or 7579079 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1364232420 is about 36935.5170533729. The cubic root of 1364232420 is about 1109.0797827384.

The spelling of 1364232420 in words is "one billion, three hundred sixty-four million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7579069 15158138 22737207 30316276 37895345 45474414 68211621 75790690 90948828 113686035 136423242 151581380 227372070 272846484 341058105 454744140 682116210 1364232420