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1540890013 = 131713035351
BaseRepresentation
bin101101111011000…
…0001110110011101
310222101110022201111
41123312001312131
511123431440023
6412522342021
753120230465
oct13366016635
93871408644
101540890013
11720879523
1237005a911
131b730ac50
14108908ba5
159042500d
hex5bd81d9d

1540890013 has 16 divisors (see below), whose sum is σ = 1758710016. Its totient is φ = 1337414400.

The previous prime is 1540890007. The next prime is 1540890097. The reversal of 1540890013 is 3100980451.

It is a cyclic number.

It is not a de Polignac number, because 1540890013 - 25 = 1540889981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540890913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285288 + ... + 290638.

It is an arithmetic number, because the mean of its divisors is an integer number (109919376).

Almost surely, 21540890013 is an apocalyptic number.

1540890013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1540890013 is a deficient number, since it is larger than the sum of its proper divisors (217820003).

1540890013 is a wasteful number, since it uses less digits than its factorization.

1540890013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1540890013 is about 39254.1719184089. The cubic root of 1540890013 is about 1155.0227722377.

The spelling of 1540890013 in words is "one billion, five hundred forty million, eight hundred ninety thousand, thirteen".

Divisors: 1 13 17 221 1303 5351 16939 22151 69563 90967 287963 1182571 6972353 90640589 118530001 1540890013